A128515 Partitions of n into primes that are not factors of n.

0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 5, 1, 8, 2, 3, 4, 16, 2, 22, 4, 7, 7, 39, 4, 26, 11, 21, 10, 86, 3, 110, 26, 30, 28, 40, 11, 218, 41, 55, 23, 335, 8, 412, 55, 49, 91, 613, 29, 372, 51, 176, 115, 1082, 44, 295, 104, 297, 255, 1849, 22, 2197, 352, 250, 439, 688, 57, 3629, 437

Offset: 1

Author

Reinhard Zumkeller, Mar 06 2007

Keywords

• nonn

Comments

a(A000040(n)) = A000607(A000040(n)) - 1.

Examples

			a(9) = #{2+2+5, 2+7} = 2;
a(10) = #{3+7} = 1;
a(11) = #{2+2+2+2+3, 2+2+2+5, 2+2+7, 3+3+3+2, 3+3+5} = 5.
		

Links

• Eric Weisstein's World of Mathematics, Prime Partition.