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 A373960 #11 Jun 24 2024 08:46:18
%S A373960 1,3,12,55,251,1133,5103,22990,103598,466852,2103796,9480387,42721676,
%T A373960 192517665,867546829,3909446467,17617229520,79388930909,357752184782,
%U A373960 1612146986543,7264855441424,32737786954481,147527050375071,664804576516400,2995824317191471
%N A373960 Number of compositions of 6*n-5 into parts 1 and 6.
%H A373960 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (7,-15,20,-15,6,-1).
%F A373960 a(n) = A005708(6*n-5).
%F A373960 a(n) = Sum_{k=0..n} binomial(n+5*k,n-1-k).
%F A373960 a(n) = 7*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6).
%F A373960 G.f.: x*(1-x)^4/((1-x)^6 - x).
%F A373960 a(n) = A373959(n) - A373959(n-1).
%o A373960 (PARI) a(n) = sum(k=0, n, binomial(n+5*k, n-1-k));
%Y A373960 Cf. A099242, A371125, A373302, A373958, A373959.
%Y A373960 Cf. A005708.
%K A373960 nonn,easy
%O A373960 1,2
%A A373960 _Seiichi Manyama_, Jun 23 2024