id:A085023 - OEIS Search Results

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E.g.f. satisfies exp(x*sum(n>=0, floor(a(n)/n!)*x^n)) = sum(n>=0, a(n)*x^n/n!).

+0
3

1, 1, 3, 13, 97, 981, 12331, 187153, 3319233, 67362697, 1540796851, 39256807701, 1102344130273, 33822265578973, 1125785761963227, 40407886961046361, 1555858721974047361, 63972335301256871313, 2797676940942967706083 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Floor(a(n)/n!) = A085022(n).`
	PROGRAM	`(PARI) {a(n)=local(A); if(n<0, 0, A=1+O(x); for(m=1, n, A=Pol(A)+x^m(floor(polcoeff(exp(xA), m))+O(x)); ); n!polcoeff(exp(xA), n))}`
	CROSSREFS	`Cf. A085022, A085295.` `Sequence in context: A098462 A006898 A129375 this_sequence A083770 A084725 A125207` `Adjacent sequences: A085020 A085021 A085022 this_sequence A085024 A085025 A085026`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jun 18 2003`

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

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