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.

A010013 a(0) = 1, a(n) = 23*n^2 + 2 for n>0.

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%I A010013 #29 Jul 08 2025 01:27:36
%S A010013 1,25,94,209,370,577,830,1129,1474,1865,2302,2785,3314,3889,4510,5177,
%T A010013 5890,6649,7454,8305,9202,10145,11134,12169,13250,14377,15550,16769,
%U A010013 18034,19345,20702,22105,23554,25049,26590,28177,29810,31489,33214,34985,36802,38665
%N A010013 a(0) = 1, a(n) = 23*n^2 + 2 for n>0.
%H A010013 Bruno Berselli, <a href="/A010013/b010013.txt">Table of n, a(n) for n = 0..1000</a>
%H A010013 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A010013 G.f.: (1+x)*(1+21*x+x^2)/(1-x)^3. - _Bruno Berselli_, Feb 06 2012
%F A010013 E.g.f.: (x*(x+1)*23+2)*e^x-1. - _Gopinath A. R._, Feb 14 2012
%F A010013 Sum_{n>=0} 1/a(n) = 3/4 + sqrt(46)/92*Pi*coth( Pi*sqrt(46)/23) = 1.0677349581... - _R. J. Mathar_, May 07 2024
%F A010013 a(n) = A069174(n)+A069174(n+1). - _R. J. Mathar_, May 07 2024
%t A010013 Join[{1}, 23 Range[41]^2 + 2] (* _Bruno Berselli_, Feb 06 2012 *)
%Y A010013 Cf. A206399.
%K A010013 nonn,easy
%O A010013 0,2
%A A010013 _N. J. A. Sloane_