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 A316357 #7 Dec 13 2018 09:15:50 %S A316357 1,5,13,21,33,53,73,93,121,153,185,221,261,305,353,401,453,513,573, %T A316357 633,701,773,845,921,1001,1085,1173,1261,1353,1453,1553,1653,1761, %U A316357 1873,1985,2101,2221,2345,2473,2601,2733,2873,3013,3153,3301,3453,3605,3761,3921 %N A316357 Partial sums of A316316. %F A316357 Conjectures from _Colin Barker_, Dec 13 2018: (Start) %F A316357 G.f.: (1 + 3*x + 5*x^2 + 2*x^3 + 5*x^4 + 3*x^5 + x^6) / ((1 - x)^3*(1 + x^2)*(1 + x + x^2)). %F A316357 a(n) = 2*a(n-1) - 2*a(n-2) + 3*a(n-3) - 3*a(n-4) + 2*a(n-5) - 2*a(n-6) + a(n-7) for n>6. %F A316357 (End) %Y A316357 Cf. A316316. %K A316357 nonn %O A316357 0,2 %A A316357 _Rémy Sigrist_, Jun 30 2018