The first, 16, terms of all Wilf classes avoiding a single pattern of length, 5



     Up to trivial symmetry, there are , 23, distinct patterns of length, 5

but judging from the first, 16, terms, there are  only, 16,

    of them. Here there are, arranged in lexicographic order

[[2, 5, 3, 1, 4], [119, 694, 4578, 33184, 258757, 2136978, 18478134, 165857600,
1535336290, 14584260700, 141603589300, 1400942032152]]

[[2, 4, 1, 5, 3], [119, 694, 4579, 33216, 259401, 2147525, 18632512, 167969934,
1563027614, 14937175825, 146016423713, 1455402205257]]

[[2, 3, 5, 1, 4], [119, 694, 4579, 33218, 259483, 2149558, 18672277, 168648090,
1573625606, 15093309024, 148223240022, 1485673163882]]

[[2, 4, 5, 1, 3], [119, 694, 4580, 33249, 260092, 2159381, 18815124, 170605392,
1599499163, 15427796984, 152487271455, 1539554179950]]

[[1, 3, 5, 4, 2], [119, 694, 4580, 33252, 260202, 2161837, 18858720, 171285237,
1609282391, 15561356705, 154246419725, 1562151687940]]

[[1, 4, 3, 5, 2], [119, 694, 4580, 33252, 260204, 2161930, 18861307, 171341565,
1610345257, 15579644765, 154541844196, 1566713947713]]

[[1, 3, 5, 2, 4], [119, 694, 4580, 33254, 260285, 2163930, 18900534, 172016256,
1621031261, 15739870457, 156855197297, 1599233708733]]

[[1, 3, 4, 2, 5], [119, 694, 4580, 33256, 260370, 2166120, 18945144, 172810050,
1633997788, 15939893003, 159820729208, 1641980432159]]

[[1, 3, 4, 5, 2], [119, 694, 4581, 33283, 260805, 2171393, 18994464, 173094540,
1632480259, 15851668551, 157824649955, 1605839173312]]

[[1, 4, 5, 2, 3], [119, 694, 4581, 33284, 260847, 2172454, 19015582, 173461305,
1638327423, 15939733122, 159099927785, 1623799173782]]

[[1, 4, 5, 3, 2], [119, 694, 4581, 33285, 260886, 2173374, 19032746, 173741467,
1642533692, 15999488304, 159917206735, 1634681988983]]

[[1, 2, 4, 5, 3], [119, 694, 4581, 33286, 260927, 2174398, 19053058, 174094868,
1648198050, 16085475576, 161174636600, 1652590573612]]

[2, 1, 4, 5, 3], ` " `

[[1, 5, 3, 4, 2], [119, 694, 4581, 33287, 260967, 2175379, 19072271, 174426353,
1653484169, 16165513608, 162344264849, 1669261805697]]

[[1, 2, 3, 4, 5], [119, 694, 4582, 33324, 261808, 2190688, 19318688, 178108704,
1705985883, 16891621166, 172188608886, 1801013405436]]

[1, 2, 3, 5, 4], ` " `

[1, 2, 5, 4, 3], ` " `

[1, 5, 4, 3, 2], ` " `

[2, 1, 3, 5, 4], ` " `

[2, 1, 5, 4, 3], ` " `

[[1, 2, 4, 3, 5], [119, 694, 4582, 33325, 261853, 2191902, 19344408, 178582940,
1713999264, 17019444969, 174149184184, 1830279810276]]

[1, 3, 2, 5, 4], ` " `

[[1, 4, 3, 2, 5], [119, 694, 4582, 33325, 261863, 2192390, 19358590, 178904675,
1720317763, 17132629082, 176055309619, 1861037944163]]

#                        This took, 81250.309, seconds.