id:A116410 - OEIS Search Results

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

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1, 1, 3, 8, 23, 66, 192, 561, 1647, 4850, 14318, 42351, 125468, 372191, 1105275, 3285288, 9772767, 29090826, 86646486, 258208671, 769820418, 2296067565, 6850744365, 20447143866, 61045757604, 182303186391, 544550917797 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Partial sums are A116409.`
	FORMULA	`a(n)=((3^n+2*0^n)/3+sum{k=0..floor(n/2), C(n,2k)C(2k,k)})/2`
	CROSSREFS	`Sequence in context: A078054 A018043 A147704 this_sequence A106606 A050535 A025578` `Adjacent sequences: A116407 A116408 A116409 this_sequence A116411 A116412 A116413`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 13 2006`

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.

AT&T Labs Research