|
Search: id:A114449
|
|
|
| A114449 |
|
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). |
|
+0
1
|
|
| 1, 22, 2232, 526256, 223342560, 149004576000, 143638792012800, 188865721926604800, 324805825447366348800, 707653302810219988992000, 1904745046396912124461056000, 6206775274489558456631623680000
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Every term is an integer.
|
|
LINKS
|
Leroy Quet, Home Page (listed in lieu of email address)
|
|
EXAMPLE
|
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.
|
|
MAPLE
|
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
|
|
CROSSREFS
|
Sequence in context: A078399 A046445 A133235 this_sequence A069221 A069222 A117990
Adjacent sequences: A114446 A114447 A114448 this_sequence A114450 A114451 A114452
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Leroy Quet Feb 14 2006
|
|
EXTENSIONS
|
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
|
|
|
Search completed in 0.002 seconds
|
