A349096 - OEIS

A349096

Where ones occur in A349083. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/x + 1/y + 1/z, 0 < x < y < z.

15, 21, 36, 45, 65, 72, 75, 76, 77, 89, 90, 105, 118, 131, 132, 133, 151, 152, 153, 165, 166, 169, 189, 190, 206, 207, 208, 209, 225, 227, 229, 241, 242, 245, 273, 276, 292, 293, 294, 295, 297, 312, 317, 318, 320, 322, 348, 349, 373, 374, 375, 376, 387, 391, 400, 431

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

For index k, p/q = A002260(k)/A003057(k).

LINKS

Table of n, a(n) for n=1..56.

EXAMPLE

15 is a term because A349083(15)=1, indicating that 5/6 = 1/x + 1/y + 1/z has a unique solution: 1/2 + 1/4 + 1/12.

CROSSREFS

Cf. A349083, A002260, A003057, A349090, A349095.

Sequence in context: A180655 A254365 A335674 * A063175 A367103 A325658

Adjacent sequences: A349093 A349094 A349095 * A349097 A349098 A349099

KEYWORD

nonn

AUTHOR

Jud McCranie, Dec 26 2021

STATUS

approved