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A163935 Third right hand column of triangle A163934 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 26 17:37 EDT 2021. Contains 346294 sequences. (Running on oeis4.)