A346606 The fourth 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.

2, 3, 14, 33, 35, 88, 115, 273, 296, 403, 609, 943, 1062, 1073, 1206, 1519, 2419, 3283

Offset

1,1

Links

Table of n, a(n) for n=1..18.

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

Index entries for sequences related to Egyptian fractions

Crossrefs

Cf. A346603, A346604, A346605.

Sequence in context: A042551 A296149 A355176 * A059188 A080768 A370616

Adjacent sequences: A346603 A346604 A346605 * A346607 A346608 A346609

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Aug 06 2021

Status

approved