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Search: id:A070908
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| 1, 52, 115975, 1382958545, 51724158235372, 4638590332229999353, 846749014511809332450147, 281600203019560266563340426570, 157450588391204931289324344702531067
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OFFSET
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0,2
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FORMULA
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a(n)=A000110(5*n).
a(n) = EXP(-1)*sum(k=>0, k^(5n)/k!).
E.g.f.: exp(x*(d_z)^5)*(exp(exp(z)-1)) |_{z=0}, with the derivative operator d_z := d/dz. Adapted from eqs.(14) and (15) of the 1999 C. M. Bender reference given in A000110.
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PROGRAM
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(PARI) for(n=0, 50, print1(round(sum(i=0, 1000, i^(5*n)/(i)!)/exp(1)), ", "))
(Other) sage: [bell_number(5*n) for n in xrange(0, 9)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 15 2009]
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CROSSREFS
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Sequence in context: A098148 A068255 A157280 this_sequence A038778 A116107 A114787
Adjacent sequences: A070905 A070906 A070907 this_sequence A070909 A070910 A070911
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KEYWORD
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easy,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 19 2002
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