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 A301683 #15 Aug 30 2023 21:42:16 %S A301683 1,7,13,31,49,67,103,133,163,217,259,301,373,427,481,571,637,703,811, %T A301683 889,967,1093,1183,1273,1417,1519,1621,1783,1897,2011,2191,2317,2443, %U A301683 2641,2779,2917,3133,3283,3433,3667,3829,3991,4243,4417,4591,4861,5047,5233,5521,5719,5917,6223,6433,6643,6967,7189,7411,7753,7987 %N A301683 Partial sums of A301682. %C A301683 Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301682. - _Ray Chandler_, Aug 30 2023 %H A301683 Ray Chandler, <a href="/A301683/b301683.txt">Table of n, a(n) for n = 0..1000</a> %H A301683 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 2, -2, 0, -1, 1). %F A301683 From _Chai Wah Wu_, Feb 03 2021: (Start) %F A301683 a(n) = a(n-1) + 2*a(n-3) - 2*a(n-4) - a(n-6) + a(n-7) for n > 6. %F A301683 G.f.: (-x^6 - 6*x^5 - 6*x^4 - 16*x^3 - 6*x^2 - 6*x - 1)/((x - 1)^3*(x^2 + x + 1)^2). (End) %Y A301683 Cf. A301682. %K A301683 nonn %O A301683 0,2 %A A301683 _N. J. A. Sloane_, Mar 25 2018