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Search: id:A136182
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A136182 a(n) = product{k=1 to d(n)-1) LCM(b(k),b(k+1)), where b(k) is the kth positive divisor of n and d(n) = the number of positive divisors of n. +0
4
1, 2, 3, 8, 5, 72, 7, 64, 27, 200, 11, 20736, 13, 392, 675, 1024, 17, 23328, 19, 32000, 1323, 968, 23, 23887872, 125, 1352, 729, 87808, 29, 145800000, 31, 32768, 3267, 2312, 6125, 1451188224, 37, 2888, 4563, 204800000, 41, 74680704, 43, 340736 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) = the product of the terms in row n of A136181.

LINKS

Diana Mecum, Table of n, a(n) for n=1,...,516

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

The positive divisors of 20 are 1,2,4,5,10,20. LCM(1,2)=2. LCM(2,4)=4. LCM(4,5)=20. LCM(5,10)=10. And LCM(10,20)=20. So a(20) = 2*4*20*10*20 = 32000.

CROSSREFS

Cf. A136179, A136181, A136183.

Sequence in context: A109844 A128779 A112283 this_sequence A067911 A051696 A066570

Adjacent sequences: A136179 A136180 A136181 this_sequence A136183 A136184 A136185

KEYWORD

nonn

AUTHOR

Leroy Quet Dec 19 2007

EXTENSIONS

Added terms a(13) - a(516). - Diana Mecum (diana.mecum(AT)gmail.com), Dec 29 2008

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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