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A022282 a(n) = n*(25*n - 1)/2. 3
0, 12, 49, 111, 198, 310, 447, 609, 796, 1008, 1245, 1507, 1794, 2106, 2443, 2805, 3192, 3604, 4041, 4503, 4990, 5502, 6039, 6601, 7188, 7800, 8437, 9099, 9786, 10498, 11235, 11997, 12784, 13596, 14433 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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).

FORMULA

a(n) = 25*n + a(n-1) - 13 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010

G.f.: x*(12 + 13*x)/(1 - x)^3 . - R. J. Mathar, Aug 04 2016

a(n) = A000217(13*n-1) - A000217(12*n-1). - Bruno Berselli, Oct 14 2016

E.g.f.: (x/2)*(25*x + 24)*exp(x). - G. C. Greubel, Aug 23 2017

MATHEMATICA

Table[n (25 n - 1)/2, {n, 0, 40}] (* Bruno Berselli, Oct 14 2016 *)

PROG

(PARI) a(n)=n*(25*n-1)/2 \\ Charles R Greathouse IV, Jun 16 2017

CROSSREFS

Cf. A022283.

Cf. similar sequences listed in A022288.

Sequence in context: A222966 A077612 A041272 * A009959 A009950 A252178

Adjacent sequences:  A022279 A022280 A022281 * A022283 A022284 A022285

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 23 07:11 EST 2020. Contains 332159 sequences. (Running on oeis4.)