|
| |
|
|
A109873
|
|
a(n) = product of terms in row n of Pascal's triangle (A001142) divided by n^k, where n^k is the largest power of n dividing it.
|
|
2
| |
|
|
1, 1, 1, 6, 4, 125, 225, 336140, 2458624, 324060912, 8930250000, 835597712998125, 9001015156742400, 6600661714966989472803, 68987440762943255933340961, 28036608657071518646200652343750, 377177413291384771899817984000000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,4
|
|
|
COMMENTS
| If p is a prime then a(p) = A001142(p)/(p^(p-1)}.
|
|
|
EXAMPLE
| a(5) = 1*5*10*10*5*1/625= 4.
|
|
|
MAPLE
| A001142 := proc(n) local k ; mul(k^(2*k-1-n), k=1..n) ; end: A109873 := proc(n) local a; a := A001142(n) ; while a mod n = 0 and a > 1 do a := a/n ; od; RETURN(a) ; end: seq(A109873(n), n=1..20) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 15 2007
|
|
|
CROSSREFS
| Cf. A001142, A109874.
Sequence in context: A098657 A112521 A192350 * A014403 A077181 A036481
Adjacent sequences: A109870 A109871 A109872 * A109874 A109875 A109876
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 10 2005
|
|
|
EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 15 2007
|
| |
|
|
