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A095993 Inverse Euler transform of the ordered Bell numbers A000670. 1
1, 2, 10, 59, 446, 3965, 41098, 484090, 6390488, 93419519, 1498268466, 26159936547, 494036061550, 10035451706821, 218207845446062, 5057251219268460, 124462048466812950, 3241773988588098756 (list; graph; refs; listen; history; internal format)
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: A026132 A186758 A202482 * A029725 A026161 A025188

Adjacent sequences:  A095990 A095991 A095992 * A095994 A095995 A095996

KEYWORD

nonn

AUTHOR

Mike Zabrocki (zabrocki(AT)mathstat.yorku.ca), Jul 18 2004

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Last modified February 17 18:34 EST 2012. Contains 206074 sequences.