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A103213
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n! * Sum[k=1..n, C(n,k)/k ].
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2
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1, 5, 29, 206, 1774, 18204, 218868, 3036144, 47928816, 850514400, 16783812000, 364865040000, 8666747625600, 223351748524800, 6206847295622400, 185007996436838400, 5887506932836300800, 199216094254423142400
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| It appears that sum((k+n)!/(2^k*k*k!),k=1..infinity)=a(n)+n!*ln(2). [Roland Groux, Dec 18 2010]
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FORMULA
| E.g.f.: ln((1-2*x)/(1-x))/(x-1). a(n) = n! * Sum[k=1..n, (2^k-1)/k ]. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 29 2005
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CROSSREFS
| Sequence in context: A201203 A004213 A105277 * A057588 A030522 A091124
Adjacent sequences: A103210 A103211 A103212 * A103214 A103215 A103216
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KEYWORD
| nonn
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AUTHOR
| Ralf Stephan, Jan 28 2005
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