A360367 a(n) is the denominator of the rational number with the smallest denominator that lies within 1/10^n of Pi.

1, 7, 7, 64, 106, 113, 113, 24175, 32085, 33102, 99532, 265381, 1360120, 1725033, 18610450, 25510582, 78256779, 340262731, 811528438, 1963319607, 6701487259, 6701487259, 413528890451, 554260122890, 1142027682075, 2851718461558, 2851718461558, 41633749241295, 91822653867264

Offset

0,2

Links

Table of n, a(n) for n=0..28.

Wolfram Research (1988), Rationalize, Wolfram Language function, (updated 1999).

Example

The rational numbers are 3, 22/7, 22/7, 201/64, 333/106, 355/113, 355/113, 75948/24175, ...

Mathematica

Table[Denominator[Rationalize[Pi, 10^(-n)]], {n, 0, 28}]

Crossrefs

Cf. A000796, A002486, A011557.

Cf. A360366 (numerator), A360368, A360369, A360370.

Sequence in context: A153272 A117860 A367456 * A274908 A009201 A219353

Adjacent sequences: A360364 A360365 A360366 * A360368 A360369 A360370

Keyword

nonn,base,frac

Author

Stefano Spezia, Feb 04 2023

Status

approved