A344290 Denominators of worst approximations to phi, the golden ratio.

1, 2, 4, 7, 9, 12, 17, 22, 25, 30, 38, 46, 51, 59, 64, 72, 85, 93, 106, 114, 119, 127, 140, 148, 161, 174, 182, 195, 216, 229, 237, 250, 271, 284, 292, 305, 326, 339, 360, 381, 394, 415, 428, 449, 470, 483, 504, 538, 559, 572, 593, 627, 648, 661, 682, 716, 737

Offset

1,2

Comments

Numbers k such that k||k*phi|| > m||m*phi|| for all m < k. Here ||x|| is the distance from x to the nearest integer.

Links

Table of n, a(n) for n=1..57.

Crossrefs

Cf. A001622, A344275.

Sequence in context: A064550 A186357 A212988 * A064491 A120878 A137996

Adjacent sequences: A344287 A344288 A344289 * A344291 A344292 A344293

Keyword

nonn,frac

Author

Jeffrey Shallit, May 14 2021

Status

approved