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A083314
(2*4^n-(3^n-1))/2.
2
1, 3, 12, 51, 216, 903, 3732, 15291, 62256, 252303, 1019052, 4105731, 16511496, 66311703, 266043972, 1066567371, 4273443936, 17115299103, 68525766492, 274296776211, 1097768235576, 4392816334503, 17576495514612, 70321672588251
OFFSET
0,2
COMMENTS
Binomial transform of A083313
FORMULA
a(n)=(2*4^n-(3^n-1))/2
G.f. (1-5x+7x^2)/((1-x)(1-3x)(1-4x))
E.g.f. (2exp(4x)-exp(3x)+exp(x))/2
MATHEMATICA
Table[(2*4^n-(3^n-1))/2, {n, 0, 30}] (* or *) LinearRecurrence[{8, -19, 12}, {1, 3, 12}, 30] (* Harvey P. Dale, Sep 29 2016 *)
CROSSREFS
Cf. A083315.
Sequence in context: A265083 A043291 A135343 * A155179 A228770 A104268
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 24 2003
STATUS
approved