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.

A096944 Seventh column of (1,5)-Pascal triangle A096940.

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%I A096944 #5 Oct 12 2012 14:40:21
%S A096944 5,31,112,308,714,1470,2772,4884,8151,13013,20020,29848,43316,61404,
%T A096944 85272,116280,156009,206283,269192,347116,442750,559130,699660,868140,
%U A096944 1068795,1306305,1585836,1913072,2294248,2736184,3246320,3832752
%N A096944 Seventh column of (1,5)-Pascal triangle A096940.
%C A096944 If Y is a 5-subset of an n-set X then, for n>=10, a(n-10) is the number of 6-subsets of X having at most one element in common with Y. > - _Milan Janjic_, Dec 08 2007
%F A096944 G.f.: (5-4*x)/(1-x)^7.
%F A096944 a(n)= (n+30)*binomial(n+5, 5)/6 = 5*b(n)-4*b(n-1), with b(n):=A000579(n+6)=binomial(n+6, 6).
%Y A096944 Sixth column: A096943; eighth column: A096945.
%K A096944 nonn,easy
%O A096944 0,1
%A A096944 _Wolfdieter Lang_, Jul 16 2004