id:A095993 - OEIS Search Results

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Inverse Euler transform of the ordered Bell numbers A000670.

+0
2

1, 2, 10, 59, 446, 3965, 41098, 484090, 6390488, 93419519, 1498268466, 26159936547, 494036061550, 10035451706821, 218207845446062, 5057251219268460, 124462048466812950, 3241773988588098756 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`Product(1/(1-q^n)^(a(n)), n >=1) = sum(A000670(k)*q^k, k>=0)`
	MAPLE	`See transforms; A000670 := proc(n) option remember; local k; if n <=1 then 1 else add(binomial(n, k)*A000670(n-k), k=1..n); fi; end; [seq(A000670(i), i=1..30)]; EULERi(%);`
	CROSSREFS	`Cf. A000670, A085686, A095989.` `Sequence in context: A112369 A124964 A026132 this_sequence A029725 A026161 A025188` `Adjacent sequences: A095990 A095991 A095992 this_sequence A095994 A095995 A095996`
	KEYWORD	`nonn`
	AUTHOR	`Mike Zabrocki (zabrocki(AT)mathstat.yorku.ca), Jul 18 2004`

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.

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