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A055977 Product_{q|n} [p(q)] divides p(n), where p(n) is number of unrestricted partitions of n, and the product is over all distinct primes q that divide n. +0
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1, 2, 3, 5, 7, 8, 9, 10, 11, 13, 17, 19, 23, 29, 31, 37, 40, 41, 43, 47, 53, 59, 61, 64, 67, 71, 73, 75, 79, 83, 89, 97, 101, 103, 107, 109, 113, 125, 127, 128, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 180, 181, 189, 191, 193, 197, 199, 211, 223, 225, 227 (list; graph; listen)
OFFSET

0,2

EXAMPLE

10 is included because p(10) = 42 is divisible by p(2)*p(5) = 2*7, and 2 and 5 are the distinct prime divisors of 10.

CROSSREFS

Sequence in context: A039103 A047490 A039072 this_sequence A111292 A047373 A039048

Adjacent sequences: A055974 A055975 A055976 this_sequence A055978 A055979 A055980

KEYWORD

easy,nonn

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Jul 20 2000

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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