The Initial Conditions Triples that lead to quasi-linear solutions to Hofsta\
    dter's Q-recurrence, followed by these expressions,  are

{[[1, 3, 2], [[], [n, 3, n-1]]], [[2, 1, 4], [[2, 1, 4, 4, 4], [1+n, 2]]], [[2,
2, 6], [[2, 2, 6], [1+n, 2]]], [[2, 2, 8], [[2, 2, 8, 2, 8], [1+n, 2]]], [[2, 2
, 10], [[2, 2, 10, 2, 10, 2, 10], [1+n, 2]]], [[2, 2, 12], [[2, 2, 12, 2, 12, 2
, 12, 2, 12], [1+n, 2]]], [[2, 3, 1], [[2], [3, 1+n, 1]]], [[2, 3, 4], [[2, 3],
[1+n, 2]]], [[2, 3, 5], [[2, 3, 5, 2, 5, 4], [1+n, 2]]], [[2, 3, 6], [[2, 3, 6]
, [1+n, 2]]], [[2, 3, 7], [[2, 3, 7, 2, 7, 2, 7, 4], [1+n, 2]]], [[2, 3, 8], [[
2, 3, 8, 2, 8], [1+n, 2]]], [[2, 3, 9], [[2, 3, 9, 2, 9, 2, 9, 2, 9, 4], [1+n,
2]]], [[2, 3, 10], [[2, 3, 10, 2, 10, 2, 10], [1+n, 2]]], [[2, 3, 11], [[2, 3,
11, 2, 11, 2, 11, 2, 11, 2, 11, 4], [1+n, 2]]], [[2, 3, 12], [[2, 3, 12, 2, 12,
2, 12, 2, 12], [1+n, 2]]], [[2, 4, 3], [[2, 4, 3, 2], [2+n, 2, n, 4]]], [[2, 5,
3], [[2, 5, 3, 2, 8], [1+n, 2]]], [[2, 6, 3], [[2, 6, 3, 2], [2+n, 2, n, 4, 4+n
, 2]]], [[2, 7, 3], [[2, 7, 3, 2, 10, 2, 10], [1+n, 2]]], [[2, 8, 3], [[2, 8, 3
, 2], [2+n, 2, n, 4, 6+n, 2, 4+n, 2]]], [[2, 9, 3], [[2, 9, 3, 2, 12, 2, 12, 2,
12], [1+n, 2]]], [[2, 10, 3], [[2, 10, 3, 2], [2+n, 2, n, 4, 8+n, 2, 6+n, 2, 4+
n, 2]]], [[2, 11, 3], [[2, 11, 3, 2, 14, 2, 14, 2, 14, 2, 14], [1+n, 2]]], [[2,
12, 3], [[2, 12, 3, 2], [2+n, 2, n, 4, 10+n, 2, 8+n, 2, 6+n, 2, 4+n, 2]]], [[3,
2, 1], [[], [3, n, n-2]]], [[3, 5, 2], [[3, 5, 2], [2+n, 2, n, 5, n-3]]], [[4,
2, 2], [[4, 2, 2, 4], [1+n, 2, 3+n, 2]]], [[4, 2, 6], [[4], [1+n, 2, 3+n, 2]]],
[[4, 2, 8], [[4, 2, 8], [3+n, 2, 1+n, 2]]], [[4, 2, 10], [[4, 2, 10, 2, 10], [1
+n, 2, 3+n, 2]]], [[4, 2, 12], [[4, 2, 12, 2, 12, 2, 12], [3+n, 2, 1+n, 2]]], [
[4, 3, 2], [[4], [2, 1+n, 2, 3+n]]], [[4, 3, 5], [[], [4, 3, 4/5+7/5*n, 4, 4, 6
, -4/5+7/5*n, 3, 6, -1+7/5*n]]], [[4, 3, 6], [[], [4, 3, 9/5+7/5*n, 4, 4, 6, 1/
5+7/5*n, 3, 6, 7/5*n]]], [[4, 3, 7], [[], [4, 3, 14/5+7/5*n, 4, 4, 6, 6/5+7/5*n
, 3, 6, 1+7/5*n]]], [[4, 3, 8], [[], [4, 3, 19/5+7/5*n, 4, 4, 6, 11/5+7/5*n, 3,
6, 2+7/5*n]]], [[4, 3, 9], [[], [4, 3, 24/5+7/5*n, 4, 4, 6, 16/5+7/5*n, 3, 6, 3
+7/5*n]]], [[4, 3, 10], [[], [4, 3, 29/5+7/5*n, 4, 4, 6, 21/5+7/5*n, 3, 6, 4+7/
5*n]]], [[4, 3, 11], [[], [4, 3, 34/5+7/5*n, 4, 4, 6, 26/5+7/5*n, 3, 6, 5+7/5*n
]]], [[4, 3, 12], [[], [4, 3, 39/5+7/5*n, 4, 4, 6, 31/5+7/5*n, 3, 6, 6+7/5*n]]]
, [[4, 4, 3], [[4, 4, 3, 4, 8], [6, -4/5+7/5*n, 3, 6, -1+7/5*n, 4, 3, 4/5+7/5*n
, 4, 4]]], [[4, 5, 2], [[4], [2, 3+n, 2, 1+n]]], [[4, 6, 2], [[4], [6, 4+n, 2,
2+n, 2, n]]], [[4, 7, 2], [[4, 7], [2, 1+n, 2, 3+n]]], [[4, 8, 2], [[4], [6, 6+
n, 2, 4+n, 2, 2+n, 2, n]]], [[4, 9, 2], [[4, 9, 2, 9], [2, 3+n, 2, 1+n]]], [[4,
10, 2], [[4], [6, 8+n, 2, 6+n, 2, 4+n, 2, 2+n, 2, n]]], [[4, 11, 2], [[4, 11, 2
, 11, 2, 11], [2, 1+n, 2, 3+n]]], [[4, 12, 2], [[4], [6, 10+n, 2, 8+n, 2, 6+n,
2, 4+n, 2, 2+n, 2, n]]], [[5, 7, 2], [[5, 7, 2, 7, 2], [4+n, 2, 2+n, 2, n, 7, n
-5]]], [[6, 2, 1], [[6, 2, 1, 3, 5], [2, 5+n, 2, 3+n, 2, 1+n]]], [[6, 2, 2], [[
6, 2, 2, 4], [1+n, 2, 5+n, 2, 3+n, 2]]], [[6, 2, 3], [[6, 2, 3, 8, 2, 8, 2, 8,
8, 4, 5, 10, 11, 11], [3+n, 2, 1+n, 2, 5+n, 2]]], [[6, 2, 4], [[6], [3+n, 2, 1+
n, 2, 5+n, 2]]], [[6, 2, 5], [[6, 2, 5, 2, 5, 8, 2, 8, 8, 4, 7, 13, 8, 14, 8, 
10, 10, 16, 13, 4, 18, 18, 10, 22, 13, 10, 24, 18, 12, 29, 15, 15, 32, 15, 9, 
42, 18, 4, 27, 50, 14, 18, 25, 23, 22, 32, 21, 34, 26, 32, 26, 14, 51], [2, 5+n
, 2, 3+n, 2, 1+n, 2, 5+n, 2, 3+n, 2, 1+n, 2, 5+n, 2, 3+n, 2, 1+n, 2, 5+n, 2, 3+
n, 2, 1+n]]], [[6, 2, 7], [[6, 2, 7, 2, 7, 2, 7, 8, 8, 4, 14, 8, 7, 9, 10, 9, 
15, 15, 4, 16], [3+n, 2, 1+n, 2, 5+n, 2]]], [[6, 2, 8], [[6], [1+n, 2, 5+n, 2,
3+n, 2]]], [[6, 2, 10], [[6, 2, 10], [3+n, 2, 1+n, 2, 5+n, 2]]], [[6, 2, 12], [
[6, 2, 12, 2, 12], [5+n, 2, 3+n, 2, 1+n, 2]]], [[6, 3, 2], [[6], [2, 1+n, 2, 5+
n, 2, 3+n]]], [[6, 4, 3], [[6], [-7/5+7/5*n, 4, 3, 2/5+7/5*n, 4, 4, 6, -6/5+7/5
*n, 3, 6]]], [[6, 5, 2], [[6], [2, 3+n, 2, 1+n, 2, 5+n]]], [[6, 7, 2], [[6], [2
, 5+n, 2, 3+n, 2, 1+n]]], [[6, 8, 2], [[6], [8, 6+n, 2, 4+n, 2, 2+n, 2, n]]], [
[6, 9, 2], [[6, 9], [2, 1+n, 2, 5+n, 2, 3+n]]], [[6, 10, 2], [[6], [8, 8+n, 2,
6+n, 2, 4+n, 2, 2+n, 2, n]]], [[6, 11, 2], [[6, 11, 2, 11], [2, 3+n, 2, 1+n, 2,
5+n]]], [[6, 12, 2], [[6], [8, 10+n, 2, 8+n, 2, 6+n, 2, 4+n, 2, 2+n, 2, n]]], [
[7, 2, 3], [[7, 2, 3], [9, 4, -7+n, 5+n, 2, 3+n, 2, 1+n, 2, 6+n, 2, 4+n, 2, 2+n
, 2, n, 9, 4, n-1, n-2, 6, 3+n, 9, 2, n, 9, 6, -13+2*n, 9, 6, -12+2*n, 9, 2, n,
9, 8, -22+2*n, 6, 2, n]]], [[7, 4, 3], [[7], [-2/5+7/5*n, 4, 3, 7/5+7/5*n, 4, 4
, 6, -1/5+7/5*n, 3, 6]]], [[7, 9, 2], [[7, 9, 2, 9, 2, 9, 2], [6+n, 2, 4+n, 2,
2+n, 2, n, 9, -7+n]]], [[8, 2, 1], [[8, 2, 1, 3, 5], [2, 7+n, 2, 5+n, 2, 3+n, 2
, 1+n]]], [[8, 2, 2], [[8, 2, 2, 4], [1+n, 2, 7+n, 2, 5+n, 2, 3+n, 2]]], [[8, 2
, 3], [[8, 2, 3, 10, 2, 10, 2, 10, 2, 10, 10, 4, 5, 12, 13, 13], [3+n, 2, 1+n,
2, 7+n, 2, 5+n, 2]]], [[8, 2, 4], [[8], [3+n, 2, 1+n, 2, 7+n, 2, 5+n, 2]]], [[8
, 2, 6], [[8], [5+n, 2, 3+n, 2, 1+n, 2, 7+n, 2]]], [[8, 2, 7], [[8, 2, 7, 2, 7,
2, 7, 10, 2, 10, 10, 4, 9], [2, 7+n, 2, 5+n, 2, 3+n, 2, 1+n]]], [[8, 2, 10], [[
8], [1+n, 2, 7+n, 2, 5+n, 2, 3+n, 2]]], [[8, 2, 12], [[8, 2, 12], [3+n, 2, 1+n,
2, 7+n, 2, 5+n, 2]]], [[8, 3, 2], [[8], [2, 1+n, 2, 7+n, 2, 5+n, 2, 3+n]]], [[8
, 4, 3], [[8], [3/5+7/5*n, 4, 3, 12/5+7/5*n, 4, 4, 6, 4/5+7/5*n, 3, 6]]], [[8,
5, 2], [[8], [2, 3+n, 2, 1+n, 2, 7+n, 2, 5+n]]], [[8, 7, 2], [[8], [2, 5+n, 2,
3+n, 2, 1+n, 2, 7+n]]], [[8, 9, 2], [[8], [2, 7+n, 2, 5+n, 2, 3+n, 2, 1+n]]], [
[8, 10, 2], [[8], [10, 8+n, 2, 6+n, 2, 4+n, 2, 2+n, 2, n]]], [[8, 11, 2], [[8,
11], [2, 1+n, 2, 7+n, 2, 5+n, 2, 3+n]]], [[8, 12, 2], [[8], [10, 10+n, 2, 8+n,
2, 6+n, 2, 4+n, 2, 2+n, 2, n]]], [[9, 2, 7], [[9, 2, 7, 2, 7, 2, 7, 11], [n-1,
n-2, 14, n-4, 9, 4, 5+n, n-8, 2, 1+n, 2, 8+n, 2, 6+n, 2, 4+n, 2, 2+n, 2, n, 11,
4]]], [[9, 4, 3], [[9], [8/5+7/5*n, 4, 3, 17/5+7/5*n, 4, 4, 6, 9/5+7/5*n, 3, 6]
]], [[9, 11, 2], [[9, 11, 2, 11, 2, 11, 2, 11, 2], [8+n, 2, 6+n, 2, 4+n, 2, 2+n
, 2, n, 11, n-9]]], [[10, 2, 1], [[10, 2, 1, 3, 5], [2, 9+n, 2, 7+n, 2, 5+n, 2,
3+n, 2, 1+n]]], [[10, 2, 2], [[10, 2, 2, 4], [1+n, 2, 9+n, 2, 7+n, 2, 5+n, 2, 3
+n, 2]]], [[10, 2, 3], [[10, 2, 3, 12, 2, 12, 2, 12, 2, 12, 2, 12, 12, 4, 5, 14
, 15, 15], [3+n, 2, 1+n, 2, 9+n, 2, 7+n, 2, 5+n, 2]]], [[10, 2, 4], [[10], [3+n
, 2, 1+n, 2, 9+n, 2, 7+n, 2, 5+n, 2]]], [[10, 2, 6], [[10], [5+n, 2, 3+n, 2, 1+
n, 2, 9+n, 2, 7+n, 2]]], [[10, 2, 8], [[10], [7+n, 2, 5+n, 2, 3+n, 2, 1+n, 2, 9
+n, 2]]], [[10, 2, 9], [[10, 2, 9, 2, 9, 2, 9, 2, 9, 12, 2, 12, 12, 4, 11], [2,
9+n, 2, 7+n, 2, 5+n, 2, 3+n, 2, 1+n]]], [[10, 2, 12], [[10], [1+n, 2, 9+n, 2, 7
+n, 2, 5+n, 2, 3+n, 2]]], [[10, 3, 2], [[10], [2, 1+n, 2, 9+n, 2, 7+n, 2, 5+n,
2, 3+n]]], [[10, 4, 3], [[10], [13/5+7/5*n, 4, 3, 22/5+7/5*n, 4, 4, 6, 14/5+7/5
*n, 3, 6]]], [[10, 5, 2], [[10], [2, 3+n, 2, 1+n, 2, 9+n, 2, 7+n, 2, 5+n]]], [[
10, 7, 2], [[10], [2, 5+n, 2, 3+n, 2, 1+n, 2, 9+n, 2, 7+n]]], [[10, 9, 2], [[10
], [2, 7+n, 2, 5+n, 2, 3+n, 2, 1+n, 2, 9+n]]], [[10, 11, 2], [[10], [2, 9+n, 2,
7+n, 2, 5+n, 2, 3+n, 2, 1+n]]], [[10, 12, 2], [[10], [12, 10+n, 2, 8+n, 2, 6+n,
2, 4+n, 2, 2+n, 2, n]]], [[11, 2, 7], [[11, 2, 7, 2, 7, 2, 7, 13], [n-1, n-2, 
14, n-4, 9, 4, 5+n, n-8, 2, 3+n, 2, 1+n, 2, 10+n, 2, 8+n, 2, 6+n, 2, 4+n, 2, 2+
n, 2, n, 13, 4]]], [[11, 4, 3], [[11], [18/5+7/5*n, 4, 3, 27/5+7/5*n, 4, 4, 6,
19/5+7/5*n, 3, 6]]], [[12, 2, 1], [[12, 2, 1, 3, 5], [2, 11+n, 2, 9+n, 2, 7+n,
2, 5+n, 2, 3+n, 2, 1+n]]], [[12, 2, 2], [[12, 2, 2, 4], [1+n, 2, 11+n, 2, 9+n,
2, 7+n, 2, 5+n, 2, 3+n, 2]]], [[12, 2, 3], [[12, 2, 3, 14, 2, 14, 2, 14, 2, 14,
2, 14, 2, 14, 14, 4, 5, 16, 17, 17], [3+n, 2, 1+n, 2, 11+n, 2, 9+n, 2, 7+n, 2,
5+n, 2]]], [[12, 2, 4], [[12], [3+n, 2, 1+n, 2, 11+n, 2, 9+n, 2, 7+n, 2, 5+n, 2
]]], [[12, 2, 6], [[12], [5+n, 2, 3+n, 2, 1+n, 2, 11+n, 2, 9+n, 2, 7+n, 2]]], [
[12, 2, 8], [[12], [7+n, 2, 5+n, 2, 3+n, 2, 1+n, 2, 11+n, 2, 9+n, 2]]], [[12, 2
, 9], [[12, 2, 9, 2, 9, 2, 9, 2, 9, 14, 2, 14, 2, 14, 14, 4, 11], [2, 9+n, 2, 7
+n, 2, 5+n, 2, 3+n, 2, 1+n, 2, 11+n]]], [[12, 2, 10], [[12], [9+n, 2, 7+n, 2, 5
+n, 2, 3+n, 2, 1+n, 2, 11+n, 2]]], [[12, 2, 11], [[12, 2, 11, 2, 11, 2, 11, 2,
11, 2, 11, 14, 2, 14, 14, 4, 13], [2, 11+n, 2, 9+n, 2, 7+n, 2, 5+n, 2, 3+n, 2,
1+n]]], [[12, 3, 2], [[12], [2, 1+n, 2, 11+n, 2, 9+n, 2, 7+n, 2, 5+n, 2, 3+n]]]
, [[12, 4, 3], [[12], [23/5+7/5*n, 4, 3, 32/5+7/5*n, 4, 4, 6, 24/5+7/5*n, 3, 6]
]], [[12, 5, 2], [[12], [2, 3+n, 2, 1+n, 2, 11+n, 2, 9+n, 2, 7+n, 2, 5+n]]], [[
12, 7, 2], [[12], [2, 5+n, 2, 3+n, 2, 1+n, 2, 11+n, 2, 9+n, 2, 7+n]]], [[12, 9,
2], [[12], [2, 7+n, 2, 5+n, 2, 3+n, 2, 1+n, 2, 11+n, 2, 9+n]]], [[12, 11, 2], [
[12], [2, 9+n, 2, 7+n, 2, 5+n, 2, 3+n, 2, 1+n, 2, 11+n]]]}
                          ---------------------------

                          This took, 15.785, seconds.