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 A353974 #16 Jul 02 2022 14:48:15
%S A353974 0,1,5,14,21,28,37,41,42,51,52,56,65,72,79,88,92,93,102,103,107,116,
%T A353974 123,130,139,143,144,153,154,158,167,174,181,190,194,195,204,205,209,
%U A353974 218,225,232,241,245,246,255,256,260,269,276,283,292,296,297,306,307,311
%N A353974 a(n) is the n-th partial sum of A056992.
%C A353974 Also the n-th partial sum of the main diagonal of A353109, or equivalently, the trace of the matrix M(n) whose permanent is A353933(n) for n > 0.
%H A353974 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,1,-1).
%F A353974 G.f.: x*(1 + 4*x + 9*x^2 + 7*x^3 + 7*x^4 + 9*x^5 + 4*x^6 + x^7 + 9*x^8)/((1 - x)^2*(1 + x + x^2)*(1 + x^3 + x^6)).
%F A353974 a(n) = a(n-1) + a(n-9) - a(n-10) for n > 9.
%F A353974 a(n) ~ 51*n/9.
%t A353974 CoefficientList[Series[x(1+4x+9x^2+7x^3+7x^4+9x^5+4x^6+x^7+9x^8)/((1-x)^2(1+x+x^2)(1+x^3+x^6)),{x,0,56}],x]
%Y A353974 Cf. A003991, A010888, A056992, A071317, A353109, A353933.
%K A353974 nonn,base,easy
%O A353974 0,3
%A A353974 _Stefano Spezia_, May 12 2022