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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.
0
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
1,6
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).
FORMULA
a(n) = A359196(A055932(n)).
EXAMPLE
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
Sequence in context: A272071 A033801 A332319 * A183386 A231818 A280633
KEYWORD
nonn
AUTHOR
David A. Corneth, Jan 17 2023
STATUS
approved