A369470 a(n) = number of integer solutions to 1 <= x1 <= x2 <= ... <= xn to 1/x1 + ... + 1/xn = (1 - 1/x1) * ... * (1 - 1/xn).

1, 1, 2, 35, 455, 13624, 1176579

Offset: 1

Author

Max Alekseyev, Jan 23 2024

Keywords

• nonn
• more

Comments

For any n, a(n) >= A369469(n) >= 1 (see A369607).

Links

• 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. A002966, A007850, A054377, A085098, A118086, A158649, A164014, A342267, A348625, A369469, A369607.