A083330 - OEIS

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A083330

(3*4^n-2*3^n+2^n)/2.

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; internal format)

	OFFSET	`0,2`
	COMMENTS	`Binomial transform of A053156`
	FORMULA	`a(n)=(34^n-23^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}] (* From Harvey P. Dale, Mar 14 2011 *)`
	CROSSREFS	`Cf. A083331.` `Sequence in context: A122451 A113442 A085732 * A018902 A095940 A184700` `Adjacent sequences: A083327 A083328 A083329 * A083331 A083332 A083333`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 27 2003`

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Last modified February 16 17:48 EST 2012. Contains 205939 sequences.