A111784 Eleventh column (m=10) of unsigned triangle A111595.

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

Offset: 10

Author

Wolfdieter Lang, Aug 23 2005

Keywords

• nonn
• easy

Programs

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 *)

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.