A163935 Third right hand column of triangle A163934.

35, 340, 1750, 6440, 19110, 48720, 110880, 231000, 448305, 820820, 1431430, 2395120, 3867500, 6054720, 9224880, 13721040, 19975935, 28528500, 40042310, 55326040, 75356050, 101301200, 134550000, 176740200, 229790925, 295937460

Offset: 3

Author

Johannes W. Meijer, Aug 13 2009

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 3..1000

Crossrefs

Cf. A048994 (Stirling1).

Equals the third right hand column of triangle A163934.

A000292 and A027777 are the first and second right hand columns.

Programs

Maple

nmax:=28; mmax:=nmax: with(combinat, stirling1): for n from 1 to nmax do for m from 1 to n do a(n,m):=(-1)^(n+m)*m*(m+1)*(m+2)*stirling1(n+2,m+2)/3! od; od: seq(a(n,n-2),n=3..nmax);

Mathematica

CoefficientList[Series[x^3 (35 + 60 x + 10 x^2)/(1 - x)^8, {x, 0, 50}], x] (* G. C. Greubel, Aug 08 2017 *)

PARI

x='x+O('x^50); Vec(x^3*(35 + 60*x + 10*x^2)/(1-x)^8) \\ G. C. Greubel, Aug 08 2017

Formula

a(n) = (n-2)*(n-1)*(n)*stirling1(n+2,n)/3!.

G.f.: x^3*(35 + 10*x^2 + 60*x)/(1 - x)^8.