A037211 Smallest natural number k such that periodic part of 1/sqrt(k) is n (or 0 if no such number exists).

1, 81, 2025, 9, 20736, 324, 36, 1296, 5184, 1, 9801, 81, 680625, 2509056, 160579584, 4356, 3828515625, 37387847900390625, 3025, 164433494016, 245025, 680625, 2025, 95712890625, 17015625, 156816, 627264, 1936, 40144896, 59820556640625

Offset

0,2

Comments

I believe a(n) = 0 will eventually occur (see A037207).

The smallest n such that A037207(n) = 0 is n = 101, so the smallest n such that a(n) = 0 is n = 101 as well. - Jianing Song, Feb 06 2019

Links

Table of n, a(n) for n=0..29.

Formula

a(n) = A037207(n)^2. - Henry Bottomley

Example

1/sqrt(20736) = 0.0069444444444444444444...; a(4) = 20736.

Crossrefs

Cf. A037207.

Sequence in context: A236088 A253448 A205978 * A238237 A350870 A282861

Adjacent sequences: A037208 A037209 A037210 * A037212 A037213 A037214

Keyword

nonn,base,nice

Author

N. J. A. Sloane

Extensions

More terms from Henry Bottomley, Apr 28 2000

Status

approved