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A163869
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Binomial transform of the beta numbers 1/beta(n+1,n+1) (A002457).
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1
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1, 7, 43, 249, 1395, 7653, 41381, 221399, 1175027, 6196725, 32512401, 169863147, 884318973, 4589954619, 23761814955, 122735222505, 632698778835, 3255832730565, 16728131746145, 85826852897675
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Also a(n) = sum {i=0..n} binomial(n,n-i) (2*i+1)$ where i$ denotes the swinging factorial of i (A056040).
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REFERENCES
| Peter Luschny, "Divide, swing and conquer the factorial and the lcm{1,2,...,n}", preprint, April 2008.
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LINKS
| Peter Luschny, Swinging Factorial.
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MAPLE
| a := proc(n) local i; add(binomial(n, i)/Beta(i+1, i+1), i=0..n) end:
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CROSSREFS
| Cf. A163842.
Sequence in context: A081896 A193656 A125344 * A043553 A049609 A161728
Adjacent sequences: A163866 A163867 A163868 * A163870 A163871 A163872
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KEYWORD
| nonn
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AUTHOR
| Peter Luschny (peter(AT)luschny.de), Aug 06 2009
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