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.
%I A095663 #7 Sep 30 2012 07:34:29 %S A095663 3,22,92,288,750,1716,3564,6864,12441,21450,35464,56576,87516,131784, %T A095663 193800,279072,394383,547998,749892,1012000,1348490,1776060,2314260, %U A095663 2985840,3817125,4838418,6084432,7594752,9414328,11594000,14191056 %N A095663 Eighth column (m=7) of (1,3)-Pascal triangle A095660. %C A095663 If Y is a 3-subset of an n-set X then, for n>=9, a(n-9) is the number of 7-subsets of X having at most one element in common with Y. - _Milan Janjic_, Nov 23 2007 %F A095663 G.f.: (3-2*x)/(1-x)^8. %F A095663 a(n)= binomial(n+6, 6)*(n+21)/7 = 3*b(n)-2*b(n-1), with b(n):=binomial(n+7, 7); cf. A000580. %Y A095663 Seventh column: A095662. Ninth column: A095664. %K A095663 nonn,easy %O A095663 0,1 %A A095663 _Wolfdieter Lang_, Jun 11 2004