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A064057 Eighth column of quintinomial coefficients. 3
2, 18, 80, 255, 666, 1520, 3144, 6030, 10890, 18722, 30888, 49205, 76050, 114480, 168368, 242556, 343026, 477090, 653600, 883179, 1178474, 1554432, 2028600, 2621450, 3356730, 4261842, 5368248 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..26.

FORMULA

a(n) = A035343(n+2, 7)= binomial(n+3, 3)*(n+14)*(n^3+15*n^2+116*n+120)/(7!/3!).

G.f.: (2+2*x-8*x^2+7*x^3-2*x^4 )/(1-x)^8; numerator polynomial is N5(7, x) from the array A063422.

a(n) = 2*C(n+2,2) + 12*C(n+2,3) + 20*C(n+2,4) + 15*C(n+2,5) + 6*C(n+2,6) + C(n+2,7) (see comment in A213887). - Vladimir Shevelev and Peter J. C. Moses, Jun 22 2012

CROSSREFS

Cf. A064056 (seventh column).

Sequence in context: A056664 A213830 A323947 * A176496 A091940 A068605

Adjacent sequences:  A064054 A064055 A064056 * A064058 A064059 A064060

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 29 2001

STATUS

approved

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Last modified June 22 19:48 EDT 2021. Contains 345388 sequences. (Running on oeis4.)