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Search: id:A078945
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| 1, 5, 29, 189, 1357, 10589, 88909, 797085, 7583373, 76179037, 804638925, 8904557341, 102929260813, 1239432543709, 15511264432973, 201330839371421, 2705249923950477, 37567754666530141, 538369104335121869
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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E.g.f.: exp{4(e^x-1)+x}.
Stirling transform of [1, 4, 4^2, 4^3, ...]. - Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Jun 01 2005
Define f_1(x),f_2(x),... such that f_1(x)=e^x, f_{n+1}(x)=diff(x*f_n(x),x), for n=2,3,.... Then a(n)=e^{-4}*f_n(4). - Milan R. Janjic (agnus(AT)blic.net), May 30 2008
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MATHEMATICA
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Table[n!, {n, 0, 20}]CoefficientList[Series[E^(4E^x-4+x), {x, 0, 20}], x]
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CROSSREFS
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Cf. A078939, A078944, A000110, A035009, A078940.
Equals A078944(n+1)/4.
Sequence in context: A059231 A127846 A137573 this_sequence A113713 A062191 A095000
Adjacent sequences: A078942 A078943 A078944 this_sequence A078946 A078947 A078948
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Dec 18 2002
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 19 2002
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