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%I #26 May 07 2024 05:20:28
%S 1,28,106,236,418,652,938,1276,1666,2108,2602,3148,3746,4396,5098,
%T 5852,6658,7516,8426,9388,10402,11468,12586,13756,14978,16252,17578,
%U 18956,20386,21868,23402,24988,26626,28316,30058,31852,33698,35596,37546,39548,41602
%N a(0) = 1, a(n) = 26*n^2 + 2 for n>0.
%H Bruno Berselli, <a href="/A010016/b010016.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F G.f.: (1+x)*(1+24*x+x^2)/(1-x)^3. - _Bruno Berselli_, Feb 06 2012
%F E.g.f.: (x*(x+1)*26+2)*e^x-1. - _Gopinath A. R._, Feb 14 2012
%F Sum_{n>=0} 1/a(n) = 3/4+sqrt(13)/52*Pi*coth(Pi/sqrt 13) = 1.060279759190266417... - _R. J. Mathar_, May 07 2024
%t Join[{1}, 26 Range[40]^2 + 2] (* _Bruno Berselli_, Feb 06 2012 *)
%Y Cf. A206399.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
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