A064057 - OEIS

%I #11 May 01 2014 02:44:22

%S 2,18,80,255,666,1520,3144,6030,10890,18722,30888,49205,76050,114480,

%T 168368,242556,343026,477090,653600,883179,1178474,1554432,2028600,

%U 2621450,3356730,4261842,5368248

%N Eighth column of quintinomial coefficients.

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

%F 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.

%F 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

%Y Cf. A064056 (seventh column).

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Aug 29 2001