A093379 - OEIS

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A093379

Expansion of x(1-2x-2x^2)/((1+x)(1-2x)(1-3x)).

0, 1, 2, 5, 12, 31, 82, 225, 632, 1811, 5262, 15445, 45652, 135591, 404042, 1206665, 3609072, 10805371, 32372422, 97029885, 290914892, 872395151, 2616486402, 7848061105, 23541387112, 70618568931, 211844521982, 635511196325 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`Binomial transform is A085280, with leading zero.`
	FORMULA	`a(n)=3^n/12-(-1)^n/12+2^n/3-0^n/3; a(n)=4a(n-1)-a(n-2)-6a(n-3). a(n)=A015518(n)/3+A000079(n)/3-0^n/3.`
	CROSSREFS	`Cf. A087432.` `Sequence in context: A000635 A077556 A097893 * A076906 A071359 A160999` `Adjacent sequences: A093376 A093377 A093378 * A093380 A093381 A093382`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 28 2004`

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Last modified February 16 11:30 EST 2012. Contains 205907 sequences.