The number of five-term Egyptian fractions of rational numbers, x/y, 0 < x/y < 1, ordered as below. The sequence is the number of (p,q,r,s,t) such that x/y = 1/p + 1/q + 1/r + 1/s + 1/t where p, q, r, s, and t are integers with p < q < r < s < t.

A349085

The number of five-term Egyptian fractions of rational numbers, x/y, 0 < x/y < 1, ordered as below. The sequence is the number of (p,q,r,s,t) such that x/y = 1/p + 1/q + 1/r + 1/s + 1/t where p, q, r, s, and t are integers with p < q < r < s < t.

Terms

    a(0) =2293a(1) =15304a(2) =1890a(3) =47314a(4) =2293a(5) =662a(6) =112535a(7) =19311a(8) =6650a(9) =510a(10) =190665a(11) =15304a(12) =2293a(13) =1890a(14) =298a(15) =368474a(16) =64992a(17) =10447a(18) =11362a(19) =1666a(20) =708a(21) =577623a(22) =47314a(23) =44843a(24) =2293a(25) =3820a(26) =662a(27) =489a(28) =925336a(29) =147545

External references