A369470 - OEIS

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A369470

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

3

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

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OFFSET

1,3

COMMENTS

For any n, a(n) >= A369469(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. A002966, A007850, A054377, A085098, A118086, A158649, A164014, A342267, A348625, A369469, A369607.

Sequence in context: A058089 A055519 A199032 * A218119 A350340 A266320

Adjacent sequences: A369467 A369468 A369469 * A369471 A369472 A369473

KEYWORD

nonn,more

AUTHOR

Max Alekseyev, Jan 23 2024

STATUS

approved