In How Ways Can You Play Stanley Solitaire?

By Shalosh B. Ekhad and Doron Zeilberger

.pdf    .tex   


Written: Aug. 31, 2023

Dedicated to Richard Stanley (b. June 23, 1944) on his forthcoming 80th birthday

Maple package

Sample Input and Output for StanleySolitaire.txt

  • If you want to see Explicit expressions for the number of ways of playing Stanley Solitaire with initial position

    [b,0k,a] where a ≥ b and 0 ≤ k ≤ 15

    then input gives the output.

  • If you want to see Explicit expressions for the number of ways of playing Stanley Solitaire with initial position

    [a,0k,a-j] where a > j, 0 ≤ j ≤ 10 and j+1 ≤ k ≤ j+10,

    then input gives the output.

  • If you want to see Explicit expressions for the number of ways of playing Stanley Solitaire with initial position

    [a2,a3,a1]

    where a1 ≥ a2 ≥ a3 ≥ 1, and an interesting implication for the number of reduced decompositions of the assoicated permutation

    then input gives the output.

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