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A128800 n*(n-1)*6^n. 1
0, 0, 72, 1296, 15552, 155520, 1399680, 11757312, 94058496, 725594112, 5441955840, 39907676160, 287335268352, 2037468266496, 14262277865472, 98738846760960, 677066377789440, 4604051368968192, 31077346740535296 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (18,-108,216).

FORMULA

G.f.: 72*x^2/(1 - 6*x)^3. - Vincenzo Librandi, Feb 11 2013

a(n) = 72*A081136(n). - R. J. Mathar, Apr 26 2015

MATHEMATICA

CoefficientList[Series[72 x^2/(1 - 6 x)^3, {x, 0, 30}], x] (* Vincenzo Librandi, Feb 11 2013 *)

LinearRecurrence[{18, -108, 216}, {0, 0, 72}, 30] (* Harvey P. Dale, Mar 22 2018 *)

PROG

(MAGMA) [(n^2-n)*6^n: n in [0..25]]; // Vincenzo Librandi, Feb 11 2013

CROSSREFS

Cf. A036289, A007758.

Sequence in context: A269074 A200556 A239423 * A008391 A292881 A282018

Adjacent sequences:  A128797 A128798 A128799 * A128801 A128802 A128803

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Apr 07 2007

STATUS

approved

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Last modified April 8 03:01 EDT 2020. Contains 333312 sequences. (Running on oeis4.)