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

3,1

Links

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

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.

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 *)

Prog

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

Crossrefs

Cf. A048994 (Stirling1).

Equals the third right hand column of triangle A163934.

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

Sequence in context: A264488 A227058 A027792 * A101099 A027803 A267749

Adjacent sequences: A163932 A163933 A163934 * A163936 A163937 A163938

Keyword

nonn,easy

Author

Johannes W. Meijer, Aug 13 2009

Status

approved