A010016 a(0) = 1, a(n) = 26*n^2 + 2 for n>0.

1, 28, 106, 236, 418, 652, 938, 1276, 1666, 2108, 2602, 3148, 3746, 4396, 5098, 5852, 6658, 7516, 8426, 9388, 10402, 11468, 12586, 13756, 14978, 16252, 17578, 18956, 20386, 21868, 23402, 24988, 26626, 28316, 30058, 31852, 33698, 35596, 37546, 39548, 41602

Offset

0,2

Links

Bruno Berselli, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Formula

G.f.: (1+x)*(1+24*x+x^2)/(1-x)^3. - Bruno Berselli, Feb 06 2012

E.g.f.: (x*(x+1)*26+2)*e^x-1. - Gopinath A. R., Feb 14 2012

Sum_{n>=0} 1/a(n) = 3/4+sqrt(13)/52*Pi*coth(Pi/sqrt 13) = 1.060279759190266417... - R. J. Mathar, May 07 2024

Mathematica

Join[{1}, 26 Range[40]^2 + 2] (* Bruno Berselli, Feb 06 2012 *)

Crossrefs

Cf. A206399.

Sequence in context: A263200 A223443 A201469 * A256647 A223492 A219857

Adjacent sequences: A010013 A010014 A010015 * A010017 A010018 A010019

Keyword

nonn,easy,changed

Author

N. J. A. Sloane.

Status

approved