A022283 a(n) = n*(25*n + 1)/2.

0, 13, 51, 114, 202, 315, 453, 616, 804, 1017, 1255, 1518, 1806, 2119, 2457, 2820, 3208, 3621, 4059, 4522, 5010, 5523, 6061, 6624, 7212, 7825, 8463, 9126, 9814, 10527, 11265, 12028, 12816, 13629, 14467

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000
• Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Crossrefs

Cf. similar sequences listed in A022289.

Programs

Mathematica

Table[n/2 (25 n + 1), {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 13, 51}, 40] (* Harvey P. Dale, May 04 2014 *)

PARI

a(n)=n*(25*n+1)/2 \\ Charles R Greathouse IV, Jun 17 2017

Formula

a(n) = a(n-1) + 25*n - 12 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010

a(0)=0, a(1)=13, a(2)=51; for n>2, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, May 04 2014

a(n) = A000217(13*n) - A000217(12*n). - Bruno Berselli, Oct 13 2016

From G. C. Greubel, Aug 23 2017: (Start)

G.f.: x*(12*x + 13)/(1-x)^3.

E.g.f.: (x/2)*(25*x + 26)*exp(x). (End)