A346604 The second of four solutions to a Monthly problem asking if there exist finite sequences 1 < a(1) < a(2) < ... < a(n) such that Sum_i 1/a(i) = 1 and gcd(a(i), a(i+1)) = 1 for 1 <= i < n.

3, 5, 7, 9, 11, 21, 22, 45, 154

Offset

1,1

Links

Table of n, a(n) for n=1..9.

Daniel Ullman, Proposer, Problem E3359, Amer. Math. Monthly, 98:2 (1991), 168.

Index entries for sequences related to Egyptian fractions

Crossrefs

Cf. A346603, A346605, A346606.

Sequence in context: A103148 A211138 A178995 * A071240 A088049 A229364

Adjacent sequences: A346601 A346602 A346603 * A346605 A346606 A346607

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Aug 06 2021

Status

approved