A017594 a(n) = (12*n + 6)^2.

36, 324, 900, 1764, 2916, 4356, 6084, 8100, 10404, 12996, 15876, 19044, 22500, 26244, 30276, 34596, 39204, 44100, 49284, 54756, 60516, 66564, 72900, 79524, 86436, 93636, 101124, 108900, 116964

Offset

0,1

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Formula

a(n) = a(n-1) + 288*n, n >= 1. - Vincenzo Librandi, Mar 19 2011

G.f.: ( -36 - 216*x - 36*x^2 ) / (x-1)^3. - R. J. Mathar, Mar 20 2011

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3); a(0)=36, a(1)=324, a(2)=900. - Harvey P. Dale, Jun 04 2012

Mathematica

(12*Range[0, 30]+6)^2 (* or *) LinearRecurrence[{3, -3, 1}, {36, 324, 900}, 30] (* Harvey P. Dale, Jun 04 2012 *)

Prog

(PARI) a(n)=(12*n+6)^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Sequence in context: A045786 A237128 A171586 * A014800 A213124 A067473

Adjacent sequences: A017591 A017592 A017593 * A017595 A017596 A017597

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved