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A033576 (2*n+1)*(12*n+1). 1
1, 39, 125, 259, 441, 671, 949, 1275, 1649, 2071, 2541, 3059, 3625, 4239, 4901, 5611, 6369, 7175, 8029, 8931, 9881, 10879, 11925, 13019, 14161, 15351, 16589, 17875, 19209, 20591, 22021, 23499, 25025 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n) = 3*a(n-1)-3*a(n-2)+a(n-3). G.f.: (1+36*x+11*x^2)/(1-x)^3. [Colin Barker, Jun 10 2012

a(n) = A005408(n) * A017533(n). - Wesley Ivan Hurt, Feb 02 2014

MAPLE

A033576:=n->(2*n+1)*(12*n+1); seq(A033576(n), n=0..50); # Wesley Ivan Hurt, Feb 02 2014

MATHEMATICA

Table[(2n+1)(12n+1), {n, 0, 50}]  (* Harvey P. Dale, Mar 30 2011 *)

CoefficientList[Series[(1+36*x+11*x^2)/(1-x)^3, {x, 0, 50}], x] (* Vincenzo Librandi, Jul 07 2012 *)

PROG

(MAGMA) [(2*n+1)*(12*n+1): n in [0..50]]; // Vincenzo Librandi, Jul 07 2012

(PARI) a(n)=(2*n+1)*(12*n+1) \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. A005408, A017533.

Sequence in context: A044290 A044671 A020266 * A082656 A072933 A118634

Adjacent sequences:  A033573 A033574 A033575 * A033577 A033578 A033579

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 11 14:03 EST 2017. Contains 295884 sequences.