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Search: id:A133991
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| A133991 |
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a(n) = Sum_{k=0..n} binomial(n,k)*binomial(2^k+n-1,n). |
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+0
2
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| 1, 3, 17, 193, 5427, 463023, 134675759, 139917028089, 527871326293913, 7281357469833220843, 368715613115281663650597, 68787958348542935934247206953, 47453320297069210448891035137347047
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n) = (1/n!)*Sum_{k=0..n} (-1)^(n-k)*Stirling1(n,k)*(2^k+1)^n. G.f.: Sum_{n>=0} (-ln(1-(2^n+1)*x))^n/n!.
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CROSSREFS
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Sequence in context: A163879 A088678 A158885 this_sequence A009494 A075271 A072350
Adjacent sequences: A133988 A133989 A133990 this_sequence A133992 A133993 A133994
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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.rs), Jan 21 2008
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EXTENSIONS
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More terms from Alexis Olson (AlexisOlson(AT)gmail.com), Nov 14 2008
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