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Search: id:A114449
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| A114449 |
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If H(0,n) = 1/n, H(m,n) = sum{k=1...n} H(m-1,k), then a(n) = (2n)!*H(n,2n)/(4n-1). |
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+0
1
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| 1, 22, 2232, 526256, 223342560, 149004576000, 143638792012800, 188865721926604800, 324805825447366348800, 707653302810219988992000, 1904745046396912124461056000, 6206775274489558456631623680000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Every term is an integer.
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EXAMPLE
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H(2,4) = H(1,1) +H(1,2) +H(1,3) +H(1,4) =
1 + (1 +1/2) + (1 +1/2 +1/3) + (1 +1/2 + 1/3 +1/4) = 77/12.
So a(2) = 24 *(77/12)/7 = 22.
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MAPLE
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H := proc(m, n) option remember ; if m = 0 then 1/n ; else add( H(m-1, k), k=1..n) ; fi ; end: A114449 := proc(n) (2*n)!*H(n, 2*n)/(4*n-1) ; end: for n from 1 to 20 do printf("%d, ", A114449(n)) ; od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 30 2008
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CROSSREFS
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Sequence in context: A116639 A046445 A133235 this_sequence A069221 A069222 A117990
Adjacent sequences: A114446 A114447 A114448 this_sequence A114450 A114451 A114452
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Feb 14 2006
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EXTENSIONS
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More terms from Brent A. Yorgey (byorgey(AT)gmail.com), Jul 27 2007
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 30 2008
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