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 A301687 #14 Aug 30 2023 17:27:19 %S A301687 1,6,13,27,44,63,91,120,151,193,234,277,333,386,441,511,576,643,727, %T A301687 804,883,981,1070,1161,1273,1374,1477,1603,1716,1831,1971,2096,2223, %U A301687 2377,2514,2653,2821,2970,3121,3303,3464,3627,3823,3996,4171,4381,4566,4753,4977,5174,5373,5611,5820,6031,6283,6504,6727,6993,7226,7461,7741 %N A301687 Partial sums of A301686. %C A301687 Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301686. - _Ray Chandler_, Aug 30 2023 %H A301687 Ray Chandler, <a href="/A301687/b301687.txt">Table of n, a(n) for n = 0..1000</a> %H A301687 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 2, -2, 0, -1, 1). %F A301687 From _Chai Wah Wu_, Feb 03 2021: (Start) %F A301687 a(n) = a(n-1) + 2*a(n-3) - 2*a(n-4) - a(n-6) + a(n-7) for n > 6. %F A301687 G.f.: (-x^6 - 5*x^5 - 7*x^4 - 12*x^3 - 7*x^2 - 5*x - 1)/((x - 1)^3*(x^2 + x + 1)^2). (End) %Y A301687 Cf. A301686. %K A301687 nonn %O A301687 0,2 %A A301687 _N. J. A. Sloane_, Mar 25 2018