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 A096947 #20 Feb 10 2020 06:24:40
%S A096947 5,46,235,880,2695,7150,17017,37180,75790,145860,267410,470288,797810,
%T A096947 1311380,2096270,3268760,4984859,7450850,10935925,15787200,22447425,
%U A096947 31475730,43571775,59603700,80640300,107987880,143232276,188286560
%N A096947 Tenth column of (1,5)-Pascal triangle A096940.
%C A096947 If Y is a 5-subset of an n-set X then, for n>=13, a(n-13) is the number of 9-subsets of X having at most one element in common with Y. - _Milan Janjic_, Dec 08 2007
%H A096947 <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 A096947 a(n) = (n+45)*binomial(n+8, 8)/9.
%F A096947 a(n) = 5*b(n)-4*b(n-1), with b(n) = A000582(n+9) = binomial(n+9, 9).
%F A096947 G.f.: (5-4*x)/(1-x)^10.
%t A096947 CoefficientList[Series[(5-4x)/(1-x)^10,{x,0,40}],x] (* _Harvey P. Dale_, Jan 06 2020 *)
%Y A096947 Ninth column: A096946.
%K A096947 nonn,easy
%O A096947 0,1
%A A096947 _Wolfdieter Lang_, Jul 16 2004