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 A301723 #18 Aug 18 2025 11:27:07
%S A301723 1,6,16,31,53,80,111,149,192,239,293,352,415,485,560,639,725,816,911,
%T A301723 1013,1120,1231,1349,1472,1599,1733,1872,2015,2165,2320,2479,2645,
%U A301723 2816,2991,3173,3360,3551,3749,3952,4159,4373,4592,4815,5045,5280,5519,5765,6016,6271
%N A301723 Partial sums of A301722.
%C A301723 Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301722. - _Ray Chandler_, Aug 30 2023
%H A301723 Ray Chandler, <a href="/A301723/b301723.txt">Table of n, a(n) for n = 0..1000</a>
%H A301723 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (2, -1, 1, -2, 1).
%F A301723 From _Colin Barker_, Apr 06 2018: (Start)
%F A301723 G.f.: (1 + x)^2*(1 + 2*x - x^2)*(1 + x^2) / ((1 - x)^3*(1 + x + x^2)).
%F A301723 a(n) = 2*a(n-1) - a(n-2) + a(n-3) - 2*a(n-4) + a(n-5) for n>4.
%F A301723 (End)
%t A301723 LinearRecurrence[{2,-1,1,-2,1},{1,6,16,31,53,80,111},50] (* _Harvey P. Dale_, Aug 18 2025 *)
%Y A301723 Cf. A301722.
%K A301723 nonn
%O A301723 0,2
%A A301723 _N. J. A. Sloane_, Mar 26 2018