A329733 Number of sequences n = b_1 < b_2 < ... < b_t = A329732(n) such that b_1*b_2*...*b_t is a perfect cube.

1, 1, 1, 2, 2, 4, 2, 6, 1, 1, 1, 68, 1, 180, 4, 2, 1, 2968, 1, 31724, 2, 2, 8

Offset

0,4

Comments

Conjecture: records are at 0 and the odd primes.

Links

Table of n, a(n) for n=0..22.

Example

For n = 5, the a(5) = 4 sequences are
5 *  6 *  9 * 10 * 15 * 18      = 90^3,
5 *  6 *  8 *  9 * 10 * 15 * 18 = 180^3,
5 * 10 * 15 * 16 * 18           = 60^3, and
5 *  8 * 10 * 15 * 16 * 18      = 120^3.

Crossrefs

Cf. A329732.

Sequence in context: A339176 A328729 A349441 * A289624 A258446 A054704

Adjacent sequences: A329730 A329731 A329732 * A329734 A329735 A329736

Keyword

nonn,more

Author

Peter Kagey, Nov 19 2019

Status

approved