A022281 a(n) = n*(23*n + 1)/2.

0, 12, 47, 105, 186, 290, 417, 567, 740, 936, 1155, 1397, 1662, 1950, 2261, 2595, 2952, 3332, 3735, 4161, 4610, 5082, 5577, 6095, 6636, 7200, 7787, 8397, 9030, 9686, 10365, 11067, 11792, 12540, 13311

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) = 23*n + a(n-1) - 11 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010

G.f.: x*(12 + 11*x)/(1 - x)^3 . - R. J. Mathar, Aug 04 2016

a(n) = A000217(12*n) - A000217(11*n). - Bruno Berselli, Oct 13 2016

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

Mathematica

Table[n (23 n + 1)/2, {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 12, 47}, 40] (* Harvey P. Dale, Aug 16 2016 *)

Prog

(PARI) a(n)=n*(23*n+1)/2 \\ Charles R Greathouse IV, Jun 16 2017

Crossrefs

Cf. similar sequences listed in A022289.

Sequence in context: A200669 A197471 A159013 * A244803 A024183 A051673

Adjacent sequences: A022278 A022279 A022280 * A022282 A022283 A022284

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved