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 A010005 #30 Jul 08 2025 01:26:56
%S A010005 1,17,62,137,242,377,542,737,962,1217,1502,1817,2162,2537,2942,3377,
%T A010005 3842,4337,4862,5417,6002,6617,7262,7937,8642,9377,10142,10937,11762,
%U A010005 12617,13502,14417,15362,16337,17342,18377,19442,20537,21662,22817,24002,25217,26462
%N A010005 a(0) = 1, a(n) = 15*n^2 + 2 for n>0.
%H A010005 Bruno Berselli, <a href="/A010005/b010005.txt">Table of n, a(n) for n = 0..1000</a>
%H A010005 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A010005 G.f.: (1+x)*(1+13*x+x^2)/(1-x)^3. - _Bruno Berselli_, Feb 06 2012
%F A010005 E.g.f.: (x*(x+1)*15+2)*e^x-1. - _Gopinath A. R._, Feb 14 2012
%F A010005 Sum_{n>=0} 1/a(n) = 3/4+sqrt(30)/60*Pi*coth(Pi *sqrt(30)/15) = 1.101107302494... - _R. J. Mathar_, May 07 2024
%t A010005 Join[{1}, 15 Range[42]^2 + 2] (* _Bruno Berselli_, Feb 06 2012 *)
%t A010005 Join[{1}, LinearRecurrence[{3, -3, 1}, {17, 62, 137}, 50]] (* _Vincenzo Librandi_, Aug 03 2015 *)
%o A010005 (PARI) A010005(n)=15*n^2+2-!n \\ _M. F. Hasler_, Feb 14 2012
%o A010005 (Magma) [1] cat [15*n^2+2: n in [1..50]]; // _Vincenzo Librandi_, Aug 03 2015
%Y A010005 Cf. A206399.
%K A010005 nonn,easy
%O A010005 0,2
%A A010005 _N. J. A. Sloane_
%E A010005 More terms from _Bruno Berselli_, Feb 06 2012