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 A301689 #15 Aug 30 2023 17:30:54 %S A301689 1,5,14,26,43,65,89,119,154,190,233,281,329,385,446,506,575,649,721, %T A301689 803,890,974,1069,1169,1265,1373,1486,1594,1715,1841,1961,2095,2234, %U A301689 2366,2513,2665,2809,2969,3134,3290,3463,3641,3809,3995,4186,4366,4565,4769,4961,5173,5390,5594,5819,6049,6265,6503,6746,6974 %N A301689 Partial sums of A301688. %C A301689 Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301688. - _Ray Chandler_, Aug 30 2023 %H A301689 Ray Chandler, <a href="/A301689/b301689.txt">Table of n, a(n) for n = 0..1000</a> %H A301689 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 2, -2, 0, -1, 1). %F A301689 From _Chai Wah Wu_, Feb 03 2021: (Start) %F A301689 a(n) = a(n-1) + 2*a(n-3) - 2*a(n-4) - a(n-6) + a(n-7) for n > 6. %F A301689 G.f.: (-x^6 - 4*x^5 - 9*x^4 - 10*x^3 - 9*x^2 - 4*x - 1)/((x - 1)^3*(x^2 + x + 1)^2). (End) %Y A301689 Cf. A301688. %K A301689 nonn %O A301689 0,2 %A A301689 _N. J. A. Sloane_, Mar 25 2018