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Search: id:A109873
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| A109873 |
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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. |
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+0
2
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| 1, 1, 1, 6, 4, 125, 225, 336140, 2458624, 324060912, 8930250000, 835597712998125, 9001015156742400, 6600661714966989472803, 68987440762943255933340961, 28036608657071518646200652343750, 377177413291384771899817984000000
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OFFSET
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1,4
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COMMENT
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If p is a prime then a(p) = A001142(p)/(p^(p-1)}.
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EXAMPLE
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a(5) = 1*5*10*10*5*1/625= 4.
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MAPLE
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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
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CROSSREFS
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Cf. A001142, A109874.
Sequence in context: A114330 A098657 A112521 this_sequence A014403 A077181 A036481
Adjacent sequences: A109870 A109871 A109872 this_sequence A109874 A109875 A109876
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 10 2005
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 15 2007
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