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.

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

Offset

0,2

Links

Table of n, a(n) for n=0..60.

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: A047490 A357065 A039072 * A180221 A111292 A047373

Adjacent sequences: A055974 A055975 A055976 * A055978 A055979 A055980

Keyword

easy,nonn

Author

Leroy Quet, Jul 20 2000

Status

approved