A369469 a(n) = number of integer solutions to 1 <= x1 < x2 < ... < xn to 1/x1 + ... + 1/xn = (1 - 1/x1) * ... * (1 - 1/xn).

1, 1, 1, 24, 293, 9219, 787444

Offset

1,4

Comments

For any n, A369470(n) >= a(n) >= 1 (see A369607).

Links

Table of n, a(n) for n=1..7.

Max Muller et al., The diophantine equation \sum_{n=1}^{N} \frac{1}{x_{n}} = \prod_{k=1}^{N} \left(1-\frac{1}{x_{k}} \right), MathOverflow, 2024.

Crossrefs

Cf. A006585, A007850, A054377, A085098, A118086, A158649, A164014, A343074, A369470, A369607.

Sequence in context: A042110 A282993 A295272 * A086941 A187028 A186966

Adjacent sequences: A369466 A369467 A369468 * A369470 A369471 A369472

Keyword

nonn,more

Author

Max Alekseyev, Jan 23 2024

Status

approved