id:A080894 - OEIS Search Results

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Expansion of the exponential series exp( x M(x) ) = exp( (1-sqrt(1-2x-3x^2))/(2x) ), where M(x) is the ordinary generating series of the Motzkin numbers A001006.

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1, 1, 3, 19, 169, 2001, 29371, 516643, 10590609, 248113729, 6541248691, 191719042131, 6185020391353, 217824649952209, 8316522297035499, 342188317852814371, 15095509523107176481, 710794856254145560833 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`E.G.F. Exp[(1 - x - Sqrt[1 - 2 x - 3x^2])/(2x)]`
	CROSSREFS	`Sequence in context: A059280 A085295 A094956 this_sequence A083071 A045531 A129481` `Adjacent sequences: A080891 A080892 A080893 this_sequence A080895 A080896 A080897`
	KEYWORD	`easy,nice,nonn`
	AUTHOR	`Emanuele Munarini (munarini(AT)mate.polimi.it), Mar 31 2003`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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