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.

A096941 Fourth column of (1,5)-Pascal triangle A096940.

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%I A096941 #10 Nov 21 2013 13:07:16
%S A096941 5,16,34,60,95,140,196,264,345,440,550,676,819,980,1160,1360,1581,
%T A096941 1824,2090,2380,2695,3036,3404,3800,4225,4680,5166,5684,6235,6820,
%U A096941 7440,8096,8789,9520,10290,11100,11951,12844,13780,14760,15785,16856,17974,19140
%N A096941 Fourth column of (1,5)-Pascal triangle A096940.
%C A096941 If Y is a 5-subset of an n-set X then, for n>=7, a(n-7) is the number of 3-subsets of X having at most one element in common with Y. - _Milan Janjic_, Dec 08 2007
%F A096941 a(n)= (n+15)*(n+2)*(n+1)/6 = 5*b(n)-4*b(n-1), with b(n):=A000292(n)=binomial(n+3, 3).
%F A096941 G.f.: (5-4*x)/(1-x)^4.
%t A096941 Table[(n^3 + 15 n^2 + 14 n)/6, {n, 100}] (* _Vladimir Joseph Stephan Orlovsky_, Jul 06 2011 *)
%Y A096941 Third column: A056000; fifth column: A096942.
%K A096941 nonn,easy
%O A096941 0,1
%A A096941 _Wolfdieter Lang_, Jul 16 2004