cp's OEIS Frontend

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.

A334673 a(n) = 23*a(n-1) - a(n-2) + 1 for n > 1, a(0)=0, a(1)=1.

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%I A334673 #68 Jul 06 2025 19:44:34
%S A334673 0,1,24,552,12673,290928,6678672,153318529,3519647496,80798573880,
%T A334673 1854847551745,42580695116256,977501140122144,22439945527693057,
%U A334673 515141245996818168,11825808712399124808,271478459139183052417,6232178751488811080784,143068632825103471805616
%N A334673 a(n) = 23*a(n-1) - a(n-2) + 1 for n > 1, a(0)=0, a(1)=1.
%H A334673 Michael De Vlieger, <a href="/A334673/b334673.txt">Table of n, a(n) for n = 0..735</a>
%H A334673 Francesca Arici and Jens Kaad, <a href="https://arxiv.org/abs/2012.11186">Gysin sequences and SU(2)-symmetries of C*-algebras</a>, arXiv:2012.11186 [math.OA], 2020.
%H A334673 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (24,-24,1).
%F A334673 a(n) = A004254(n)*A004254(n+1)/5 = A160695(n+1)/5.
%F A334673 G.f.: x/((1-x)*(x^2-23*x+1)). - _Alois P. Heinz_, Sep 11 2020
%F A334673 From _Klaus Purath_, Jun 18 2025: (Start)
%F A334673 a(n) = (A004253(n+1)^2 - 1) / 15.
%F A334673 a(n) = (A030221(n)^2 - 1) / 35.
%F A334673 a(n) + a(n+1) = A004253(n+1)^2. (End)
%t A334673 CoefficientList[Series[x/((1 - x) (x^2 - 23 x + 1)), {x, 0, 18}], x] (* _Michael De Vlieger_, Apr 07 2021 *)
%Y A334673 Cf. A004253, A004254, A030221, A097778 (first differences).
%Y A334673 Cf. A212336 for more sequences with g.f. of the type 1/(1-k*x+k*x^2-x^3).
%K A334673 nonn,easy
%O A334673 0,3
%A A334673 _Francesca Arici_, Sep 11 2020
%E A334673 a(13)-a(14) corrected and more terms added by _Alois P. Heinz_, Sep 11 2020