%I
%S 0,1,4,13,34,80,172,352,682,1277,2314,4103,7112,12120,20302,33582,
%T 54860,88699,142036,225407,354938,554698,861366,1328654,2038498,
%U 3108789,4718194,7122619,10705550,16012298,23852554,35374650,52262054,76898593
%N Number of compositions of n such that the maximal distance between two identical parts equals five.
%e a(6) = 1: 111111.
%e a(7) = 4: 111121, 111211, 112111, 121111.
%e a(8) = 13: 111131, 111221, 111311, 112121, 112211, 113111, 121121, 121211, 122111, 131111, 211112, 1111112, 2111111.
%e 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.
%Y Column k=5 of A262191.
%K nonn
%O 5,3
%A _Alois P. Heinz_, Sep 14 2015
