A360366
a(n) is the numerator of the rational number with the smallest denominator that lies within 1/10^n of Pi.
Original entry on oeis.org
3, 22, 22, 201, 333, 355, 355, 75948, 100798, 103993, 312689, 833719, 4272943, 5419351, 58466453, 80143857, 245850922, 1068966896, 2549491779, 6167950454, 21053343141, 21053343141, 1299139324288, 1741259530249, 3587785776203, 8958937768937, 8958937768937, 130796280757852
Offset: 0
The rational numbers are 3, 22/7, 22/7, 201/64, 333/106, 355/113, 355/113, 75948/24175, ...
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Table[Numerator[Rationalize[Pi,10^(-n)]],{n,0,27}]
A360367
a(n) is the denominator of the rational number with the smallest denominator that lies within 1/10^n of Pi.
Original entry on oeis.org
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
The rational numbers are 3, 22/7, 22/7, 201/64, 333/106, 355/113, 355/113, 75948/24175, ...
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Table[Denominator[Rationalize[Pi,10^(-n)]],{n,0,28}]
Original entry on oeis.org
1, 7, 106, 113, 33102, 99532, 265381, 1360120, 1725033, 25510582, 78256779, 340262731, 811528438, 1963319607, 6701487259, 1142027682075, 2851718461558, 136308121570117, 1952799169684491, 9627687726852338, 21208174623389167, 136876735467187340, 842468587426513207
Offset: 1
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imax=34; Intersection[Denominator[Convergents[ContinuedFraction[Pi, imax]]], Table[Denominator[Rationalize[Pi, 10^(-i)]], {i,0,2*imax}]]
Showing 1-3 of 3 results.