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A064305 Ninth diagonal of triangle A064094. 2
1, 1430, 95235, 1338790, 9137549, 41260086, 142648495, 409186310, 1022586105, 2298558934, 4750427771, 9170347110, 16730290885, 29104970870, 48618847719, 78419396806, 122678791025, 186826162710 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

FORMULA

a(n)= 1+7*n+27*n^2+75*n^3+165*n^4+297*n^5+429*n^6+429*n^7.

Eighth row polynomial (n=7) of Catalan triangle A009766.

G.f.: (1 +1422*x +83823*x^2 +616894*x^3 +1013799*x^4 +412698*x^5 +33337*x^6 +186*x^7) / (1 -x)^8.

MATHEMATICA

CoefficientList[Series[(1 + 1422 x + 83823 x^2 + 616894 x^3 + 1013799 x^4 + 412698 x^5 + 33337 x^6 + 186 x^7)/(1 - x)^8, {x, 0, 40}], x] (* Vincenzo Librandi, Apr 15 2014 *)

CROSSREFS

Cf. A064304 (eighth diagonal).

Sequence in context: A124087 A244105 A264181 * A258495 A258396 A215548

Adjacent sequences:  A064302 A064303 A064304 * A064306 A064307 A064308

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Sep 13 2001

STATUS

approved

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Last modified October 16 12:35 EDT 2018. Contains 316263 sequences. (Running on oeis4.)