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A262200
Number of compositions of n such that the maximal distance between two identical parts equals five.
1
0, 1, 4, 13, 34, 80, 172, 352, 682, 1277, 2314, 4103, 7112, 12120, 20302, 33582, 54860, 88699, 142036, 225407, 354938, 554698, 861366, 1328654, 2038498, 3108789, 4718194, 7122619, 10705550, 16012298, 23852554, 35374650, 52262054, 76898593
OFFSET
5,3
EXAMPLE
a(6) = 1: 111111.
a(7) = 4: 111121, 111211, 112111, 121111.
a(8) = 13: 111131, 111221, 111311, 112121, 112211, 113111, 121121, 121211, 122111, 131111, 211112, 1111112, 2111111.
a(9) = 34: 111141, 111231, 111321, 111411, 112131, 112221, 112311, 113121, 113211, 114111, 121131, 121221, 121311, 122121, 122211, 123111, 131121, 131211, 132111, 141111, 211122, 211212, 212112, 221112, 1111113, 1111212, 1112112, 1121112, 1211112, 2111121, 2111211, 2112111, 2121111, 3111111.
CROSSREFS
Column k=5 of A262191.
Sequence in context: A161531 A101946 A029860 * A213578 A212149 A357284
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 14 2015
STATUS
approved