A395998 Numbers k > 4 such that the greedy Egyptian fraction representation of 4/k has more terms than the shortest representation of 4/k as a sum of unit fractions.

17, 25, 41, 49, 65, 73, 77, 89, 97, 113, 121, 133, 137, 145, 161, 169, 185, 193, 209, 217, 233, 241, 245, 253, 257, 265, 281, 289, 301, 305, 313, 329, 337, 341, 353, 361, 377, 385, 401, 409, 413, 425, 433, 437, 449, 457, 469, 473, 481, 497, 505, 517, 521, 529

Offset

1,1

Comments

Numbers k such that A097847(k,4) < A050205(k,4).

All terms are odd.

Links

Pontus von Brömssen, Table of n, a(n) for n = 1..10000

Index entries for sequences related to Egyptian fractions.

Example

17 is a term since the representation 4/17 = 1/5 + 1/30 + 1/510 (for example) has fewer terms than the greedy Egyptian fraction representation 4/17 = 1/5 + 1/29 + 1/1233 + 1/3039345.

Crossrefs

Cf. A050205, A097847, A395995, A395997, A395999, A396160.

Sequence in context: A294689 A263540 A355769 * A183346 A373317 A166666

Adjacent sequences: A395995 A395996 A395997 * A395999 A396000 A396001

Keyword

nonn

Author

Pontus von Brömssen, May 14 2026

Status

approved