A348625 Number of Egyptian fractions with squared denominators: number of solutions to the equation 1 = 1/x_1^2 + ... + 1/x_n^2 with 0 < x_1 <= ... <= x_n.

1, 0, 0, 1, 0, 1, 1, 4, 7, 47, 186, 1809, 27883

Offset: 1

Author

Max Alekseyev, Oct 25 2021

Keywords

• nonn
• hard
• more

Comments

All denominators are bounded by A348626(n), i.e., 0 < x_1 <= ... <= x_n < A348626(n). Furthermore, for a fixed n, x_i <= sqrt(n+1-i)*(A348626(i)-1).

Crossrefs

Cf. A002966, A348626.