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Search: id:A134173
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| A134173 |
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a(n) = Sum_{k=0..n} binomial(n,k)*binomial(2^k,n). |
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+0
2
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| 1, 3, 8, 68, 2106, 223776, 80532200, 98945392200, 421225839051260, 6310402120912239968, 337401124757628967733136, 65171905481441631827737564000, 45944096973025484590366745753166436
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: Sum_{n>=0} ln(1+(2^n+1)*x)^n/n!.
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MAPLE
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a:=proc(n) options operator, arrow: sum(binomial(n, k)*binomial(2^k, n), k=0..n) end proc: seq(a(n), n=0..13); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 27 2008
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CROSSREFS
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Sequence in context: A062358 A110385 A053740 this_sequence A095051 A092372 A060752
Adjacent sequences: A134170 A134171 A134172 this_sequence A134174 A134175 A134176
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Hanna and Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 13 2008
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 27 2008
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