A022286 a(n) = n*(29*n - 1)/2.

0, 14, 57, 129, 230, 360, 519, 707, 924, 1170, 1445, 1749, 2082, 2444, 2835, 3255, 3704, 4182, 4689, 5225, 5790, 6384, 7007, 7659, 8340, 9050, 9789, 10557, 11354, 12180, 13035, 13919, 14832, 15774, 16745

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. A000217, A022287.

Cf. similar sequences listed in A022288.

Programs

Mathematica

Table[n (29 n - 1)/2, {n, 0, 40}] (* Bruno Berselli, Oct 14 2016 *)

PARI

a(n)=n*(29*n-1)/2 \\ Charles R Greathouse IV, Jun 17 2017

Formula

a(n) = 29*n + a(n-1) - 15 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010

G.f.: x*(14 + 15*x)/(1 - x)^3. - R. J. Mathar, Aug 04 2016

a(n) = A000217(15*n-1) - A000217(14*n-1). - Bruno Berselli, Oct 14 2016

E.g.f.: (x/2)*(29*x + 28)*exp(x). - G. C. Greubel, Aug 24 2017