A111784 - OEIS

A111784

Eleventh column (m=10) of unsigned triangle A111595.

1, 110, 7326, 386100, 17846829, 762431670, 31039608600, 1227833727120, 47809764352350, 1849155516788580, 71501760198168300, 2777115998421765000, 108722966424618095550, 4301625967084096150500, 172338358130509601230200

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OFFSET

10,2

LINKS

Table of n, a(n) for n=10..24.

FORMULA

E.g.f.: (1/sqrt(1-x^2))*((x/(1-x))^10)/10!.

a(n) = (n!/10!)*Sum_{k=0..floor((n-10)/2)} binomial(2*k, k)*binomial(n-2*k-1, 9)/(4^k), n >= 10.

MATHEMATICA

With[{nn=30}, Drop[CoefficientList[Series[1/Sqrt[1-x^2] (x/(1-x))^10/ 10!, {x, 0, nn}], x] Range[0, nn]!, 10]] (* Harvey P. Dale, May 22 2016 *)

CROSSREFS

Sequence in context: A250528 A251029 A111600 * A146495 A063751 A266179

Adjacent sequences: A111781 A111782 A111783 * A111785 A111786 A111787

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 23 2005

STATUS

approved