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A360367
a(n) is the denominator of the rational number with the smallest denominator that lies within 1/10^n of Pi.
4
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
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. A360366 (numerator), A360368, A360369, A360370.
Sequence in context: A153272 A117860 A367456 * A274908 A009201 A219353
KEYWORD
nonn,base,frac
AUTHOR
Stefano Spezia, Feb 04 2023
STATUS
approved