A359753 a(n) is the number of subsets of the divisors of k which sum to k+1 where k is a number all of whose prime divisors are consecutive primes starting at 2.

1, 1, 1, 1, 1, 3, 1, 2, 5, 5, 1, 8, 11, 3, 33, 1, 27, 20, 21, 21, 271, 1, 117, 13, 4, 720, 43, 149, 143, 2155, 1, 109, 448, 444, 55, 21963, 85, 19223, 1247, 279, 17073, 5, 1, 15086, 1835, 13732, 13851, 760, 675187, 37, 171, 588, 9558, 73713, 135669, 144, 1, 8206, 7254

Offset: 1

Author

David A. Corneth, Jan 17 2023

Keywords

• nonn

Comments

This sequence might be used to split the positive integers into families of numbers that may or may not be a candidate for A359197(n).

Examples

			a(6) = 3 as A055932(6) = 12 and there are 12 subsets of the divisors of 12 which sum to 12+1 = 13 namely {1, 2, 4, 6}, {1, 12} and {3, 4, 6}.
		

Crossrefs

Cf. A055932, A359196.

Formula

a(n) = A359196(A055932(n)).