login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Number of isoscent sequences of length n with exactly seven descents.
2

%I #7 Feb 09 2015 10:34:15

%S 130,18196,1027497,35855578,920132845,19024724767,334824869566,

%T 5199938158961,73073359931844,946309985456857,11449696018832655,

%U 130815643776548834,1423250326223813866,14845562100052915605,149281547622659687547,1453772869428542126084

%N Number of isoscent sequences of length n with exactly seven descents.

%H Joerg Arndt and Alois P. Heinz, <a href="/A243480/b243480.txt">Table of n, a(n) for n = 13..100</a>

%t b[n_, i_, t_] := b[n, i, t] = If[n < 1, 1, Expand[Sum[ If[j < i, x, 1] *b[n - 1, j, t + If[j == i, 1, 0]], {j, 0, t + 1}]]]; a[n_] := Coefficient[b[n - 1, 0, 0], x, 7]; Table[a[n], {n, 13, 40}] (* _Jean-François Alcover_, Feb 09 2015, after A242352 *)

%Y Column k=7 of A242352.

%K nonn

%O 13,1

%A _Joerg Arndt_ and _Alois P. Heinz_, Jun 05 2014