A022287 a(n) = n*(29*n + 1)/2.

0, 15, 59, 132, 234, 365, 525, 714, 932, 1179, 1455, 1760, 2094, 2457, 2849, 3270, 3720, 4199, 4707, 5244, 5810, 6405, 7029, 7682, 8364, 9075, 9815, 10584, 11382, 12209, 13065, 13950, 14864, 15807, 16779

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 (29 n + 1)/2, {n, 0, 40}] (* Bruno Berselli, Oct 13 2016 *)

PARI

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

Formula

a(n) = 29*n + a(n-1) - 14 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010

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

a(n) = A000217(15*n) - A000217(14*n). - Bruno Berselli, Oct 13 2016

E.g.f.: (x/2)*(29*x + 30)*exp(x). - G. C. Greubel, Aug 24 2017