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A134176
a(n) = (3/8)*(n-1)*(n-2)*(27*n^2-137*n+180).
1
0, 0, 9, 144, 765, 2475, 6120, 12789, 23814, 40770, 65475, 99990, 146619, 207909, 286650, 385875, 508860, 659124, 840429, 1056780, 1312425, 1611855, 1959804, 2361249, 2821410, 3345750, 3939975, 4610034, 5362119, 6202665, 7138350, 8176095, 9323064, 10586664
OFFSET
1,3
FORMULA
O.g.f.: 9*x^3*(1+11*x+15*x^2)/(1-x)^5 . - R. J. Mathar, Feb 01 2008
MATHEMATICA
Table[(3/8)(n-1)(n-2)(27n^2-137n+180), {n, 40}] (* Harvey P. Dale, Mar 23 2011 *)
LinearRecurrence[{5, -10, 10, -5, 1}, {0, 0, 9, 144, 765} , 50] (* G. C. Greubel, May 30 2016 *)
PROG
(PARI) a(n)=3*(n-1)*(n-2)*(27*n^2-137*n+180)/8 \\ Charles R Greathouse IV, Oct 21 2022
CROSSREFS
Sequence in context: A050787 A017198 A281789 * A325173 A067415 A069134
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jan 30 2008
STATUS
approved