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A084857 Inverse binomial transform of n^2*3^(n-1). +0
2
0, 1, 10, 48, 176, 560, 1632, 4480, 11776, 29952, 74240, 180224, 430080, 1011712, 2351104, 5406720, 12320768, 27852800, 62521344, 139460608, 309329920, 682622976, 1499463680, 3279945728, 7147094016, 15518924800, 33587986432 (list; graph; listen)
OFFSET

0,3

COMMENT

Binomial transform of octagonal numbers A000567. Inverse binomial transform of A069996.

FORMULA

a(n)=n(3n - 1)2^(n - 2).

O.g.f.: -x*(1+4*x)/(-1+2*x)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008

CROSSREFS

Sequence in context: A121075 A121073 A163724 this_sequence A126734 A048698 A045770

Adjacent sequences: A084854 A084855 A084856 this_sequence A084858 A084859 A084860

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jun 09 2003

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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