A116488 Number of factorizations of n into evil numbers.

1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 3, 0, 1, 3, 0, 0, 1, 1, 0, 3, 0, 0, 1, 1, 0, 0, 1, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 4, 0, 0, 1, 1, 0, 4, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 3, 0, 0, 3, 0, 1, 1, 0, 1, 4, 0, 1, 0, 2, 1, 1, 0, 1, 7, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 3, 0, 0, 1

Offset

1,9

Comments

a(2*n) >= a(n) for n > 1. - David A. Corneth, Mar 27 2021

Links

David A. Corneth, Table of n, a(n) for n = 1..10000

Formula

Dirichlet g.f.: prod{n is in A001969}(1/(1-1/n^s)).

Crossrefs

Cf. A001969, A116489, A116490.

Sequence in context: A368987 A115604 A128617 * A356242 A216601 A283000

Adjacent sequences: A116485 A116486 A116487 * A116489 A116490 A116491

Keyword

nonn

Author

Christian G. Bower, Feb 17 2006

Status

approved