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A083330 (3*4^n-2*3^n+2^n)/2. 1
1, 4, 17, 73, 311, 1309, 5447, 22453, 91871, 373789, 1514327, 6115333, 24636431, 99073069, 397878407, 1596280213, 6399436991, 25640729149, 102691925687, 411154861093, 1645781181551, 6586610462029, 26356900104167 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A053156

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n)=(3*4^n-2*3^n+2^n)/2 G.f. (1-5x+7x^2)/(2(1-2x)(1-3x)(1-4x)) E.g.f. (3exp(4x)-2exp(3x)+exp(2x))/2

MATHEMATICA

Table[(3 4^n-2 3^n+2^n)/2, {n, 0, 30}]  (* Harvey P. Dale, Mar 14 2011 *)

CROSSREFS

Cf. A083331.

Sequence in context: A113442 A085732 A289159 * A255632 A255814 A095940

Adjacent sequences:  A083327 A083328 A083329 * A083331 A083332 A083333

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 27 2003

STATUS

approved

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Last modified June 18 17:05 EDT 2019. Contains 324214 sequences. (Running on oeis4.)