cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A064057 Eighth column of quintinomial coefficients.

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%I A064057 #11 May 01 2014 02:44:22
%S A064057 2,18,80,255,666,1520,3144,6030,10890,18722,30888,49205,76050,114480,
%T A064057 168368,242556,343026,477090,653600,883179,1178474,1554432,2028600,
%U A064057 2621450,3356730,4261842,5368248
%N A064057 Eighth column of quintinomial coefficients.
%F A064057 a(n) = A035343(n+2, 7)= binomial(n+3, 3)*(n+14)*(n^3+15*n^2+116*n+120)/(7!/3!).
%F A064057 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 A064057 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 A064057 Cf. A064056 (seventh column).
%K A064057 nonn,easy
%O A064057 0,1
%A A064057 _Wolfdieter Lang_, Aug 29 2001