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Number of permutations of [n] with exactly four (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=up and 0=down.
2

%I #8 Jan 12 2015 09:43:04

%S 1,0,0,0,0,0,0,0,255577419,0,0,9542007262728,6774382288791,0,

%T 2426035607748545873,7229099931331250350,1033055991550105110,

%U 2319374753629800000,19452094129713604966805,438500213962184713953125,45449834784068599467011795

%N Number of permutations of [n] with exactly four (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=up and 0=down.

%H Alois P. Heinz, <a href="/A246224/b246224.txt">Table of n, a(n) for n = 7..130</a>

%Y Column k=4 of A242783.

%K nonn

%O 7,9

%A _Alois P. Heinz_, Aug 19 2014