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A242163 Number of ascent sequences of length n with exactly ten flat steps. 3
1, 11, 132, 1430, 16016, 183183, 2170168, 26682656, 341093610, 4535113154, 62703599816, 901046882736, 13446991930372, 208232533802370, 3342841274221680, 55579584231437200, 956172212838496225, 17004878491751993700, 312343867479847052850, 5920144379977393205640 (list; graph; refs; listen; history; text; internal format)
OFFSET

11,2

LINKS

Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 11..140

FORMULA

a(n) ~ Pi^(35/2) / (10! * 6^8 * sqrt(3)*exp(Pi^2/12)) * (6/Pi^2)^n * n! * sqrt(n). - Vaclav Kotesovec, Aug 27 2014

MATHEMATICA

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, 10]; Table[a[n], {n, 11, 30}] (* Jean-Fran├žois Alcover, Feb 10 2015, after A242153 *)

CROSSREFS

Column k=10 of A242153.

Sequence in context: A044041 A158536 A229252 * A105280 A196731 A289415

Adjacent sequences:  A242160 A242161 A242162 * A242164 A242165 A242166

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, May 05 2014

STATUS

approved

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Last modified June 22 17:18 EDT 2021. Contains 345388 sequences. (Running on oeis4.)