id:A116387 - OEIS Search Results

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Expansion of 1/(sqrt(1-2x-3x^2)(2-M(x))), where M(x) is the g.f. of the Motzkin numbers A001006.

+0
3

1, 2, 7, 22, 72, 234, 763, 2486, 8099, 26372, 85833, 279226, 907946, 2951066, 9587981, 31140034, 101104048, 328162170, 1064856217, 3454513274, 11204337056, 36332719182, 117795920249, 381848062066, 1237615088203, 4010710218384 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A116383.`
	FORMULA	`a(n)=sum{k=0..n, sum{j=0..n, C(n,j-k)C(j,n-j)}}.`
	CROSSREFS	`Adjacent sequences: A116384 A116385 A116386 this_sequence A116388 A116389 A116390` `Sequence in context: A109999 A092690 A030186 this_sequence A114495 A137398 A007141`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 12 2006`

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.

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