A064057 Eighth column of quintinomial coefficients.

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

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