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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

%I #13 Jan 27 2024 09:28:46

%S 1,1,2,35,455,13624,1176579

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

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

%H Max Muller et al., <a href="https://mathoverflow.net/q/462605">The diophantine equation \sum_{n=1}^{N} \frac{1}{x_{n}} = \prod_{k=1}^{N} \left(1-\frac{1}{x_{k}} \right)</a>, MathOverflow, 2024.

%Y Cf. A002966, A007850, A054377, A085098, A118086, A158649, A164014, A342267, A348625, A369469, A369607.

%K nonn,more

%O 1,3

%A _Max Alekseyev_, Jan 23 2024

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Last modified May 21 13:22 EDT 2024. Contains 372736 sequences. (Running on oeis4.)