A306973 Numerator of best rational approximation x/y of sqrt(k), y<=k, with k given by A306972. The corresponding denominators are given in A306974.

3, 5, 9, 17, 19, 31, 33, 61, 76, 55, 127, 199, 536, 577, 721, 962, 1025, 1126, 1249, 1324, 2049, 2402, 2501, 4801, 6049, 7687, 8191, 9801, 10657, 11775, 13719, 20457, 31370, 33281, 36449, 37537, 40897, 42049, 45124, 46817, 56447, 62423, 83751, 87724, 97499, 126001

Offset

1,1

Links

Table of n, a(n) for n=1..46.

Example

See A306972.

Crossrefs

Cf. A306972, A306974.

Sequence in context: A135575 A354910 A355611 * A130114 A143106 A364877

Adjacent sequences: A306970 A306971 A306972 * A306974 A306975 A306976

Keyword

nonn,frac

Author

Hugo Pfoertner, Mar 18 2019

Status

approved