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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. 3
1, 1, 1, 6, 4, 125, 225, 336140, 2458624, 324060912, 8930250000, 835597712998125, 9001015156742400, 6600661714966989472803, 68987440762943255933340961, 28036608657071518646200652343750, 377177413291384771899817984000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

If p is a prime then a(p) = A001142(p)/(p^(p-1)}.

LINKS

Table of n, a(n) for n=1..17.

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, Aug 15 2007

CROSSREFS

Cf. A001142, A109874.

Sequence in context: A308900 A239861 A266850 * A334806 A014403 A232818

Adjacent sequences:  A109870 A109871 A109872 * A109874 A109875 A109876

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jul 10 2005

EXTENSIONS

More terms from R. J. Mathar, Aug 15 2007

STATUS

approved

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Last modified August 10 19:52 EDT 2020. Contains 336381 sequences. (Running on oeis4.)