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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

%I #8 Apr 09 2014 10:15:16

%S 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,

%T 71,73,75,79,83,89,97,101,103,107,109,113,125,127,128,131,137,139,149,

%U 151,157,163,167,173,179,180,181,189,191,193,197,199,211,223,225,227

%N 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.

%e 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.

%K easy,nonn

%O 0,2

%A _Leroy Quet_, Jul 20 2000

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Last modified April 25 06:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)