cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A242162 Number of ascent sequences of length n with exactly nine flat steps.

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%I A242162 #9 Feb 10 2015 06:55:32
%S A242162 1,10,110,1100,11440,122122,1356355,15695680,189496450,2386901660,
%T A242162 31351799908,429069944160,6112269059260,90535884261900,
%U A242162 1392850530925700,22231833692574880,367758543399421625,6298103145093331000,111551381242802518875,2041429096543928691600
%N A242162 Number of ascent sequences of length n with exactly nine flat steps.
%H A242162 Joerg Arndt and Alois P. Heinz, <a href="/A242162/b242162.txt">Table of n, a(n) for n = 10..140</a>
%F A242162 a(n) ~ Pi^(31/2) / (9! * 6^7 * sqrt(3)*exp(Pi^2/12)) * (6/Pi^2)^n * n! * sqrt(n). - _Vaclav Kotesovec_, Aug 27 2014
%t A242162 b[n_, i_, t_] := b[n, i, t] = If[n == 0, 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, -1], x, 9]; Table[a[n], {n, 10, 30}] (* _Jean-François Alcover_, Feb 10 2015, after A242153 *)
%Y A242162 Column k=9 of A242153.
%K A242162 nonn
%O A242162 10,2
%A A242162 _Joerg Arndt_ and _Alois P. Heinz_, May 05 2014