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 A095665 #8 Oct 13 2017 12:03:24 %S A095665 3,28,145,550,1705,4576,11011,24310,50050,97240,179894,319124,545870, %T A095665 904400,1456730,2288132,3513917,5287700,7811375,11347050,16231215, %U A095665 22891440,31865925,43826250,59603700,80219568,106919868,141214920 %N A095665 Tenth column (m=9) of (1,3)-Pascal triangle A095660. %C A095665 If Y is a 3-subset of an n-set X then, for n>=11, a(n-11) is the number of 9-subsets of X having at most one element in common with Y. - _Milan Janjic_, Nov 23 2007 %H A095665 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1). %F A095665 a(n)= binomial(n+8, 8)*(n+27)/9 = 3*b(n)-2*b(n-1), with b(n):=binomial(n+9, 9); cf. A000582. %F A095665 G.f.: (3-2*x)/(1-x)^10. %t A095665 Table[Binomial[n+8,8] (n+27)/9,{n,0,30}] (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{3,28,145,550,1705,4576,11011,24310,50050,97240},30] (* _Harvey P. Dale_, Oct 13 2017 *) %Y A095665 Ninth column: A095663. %K A095665 nonn,easy %O A095665 0,1 %A A095665 _Wolfdieter Lang_, Jun 11 2004