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A020414 Numbers k such that the continued fraction for sqrt(k) has period 75. 0
3217, 3313, 7237, 9209, 9466, 10249, 10765, 11521, 11785, 12442, 12757, 13709, 13757, 14125, 15577, 16897, 19421, 19577, 19786, 19913, 21562, 22277, 22837, 29765, 31517, 31741, 32458, 32489, 33202, 33893, 34165, 35153, 36506, 41845, 42314, 42802 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..36.

MATHEMATICA

cf75Q[n_]:=Module[{s=Sqrt[n]}, If[IntegerQ[s], 1, Length[ ContinuedFraction[ s][[2]]]]==75]; Select[Range[43000], cf75Q] (* Harvey P. Dale, Apr 17 2020 *)

CROSSREFS

Cf. A003285.

Sequence in context: A091329 A261241 A345772 * A202612 A295474 A283578

Adjacent sequences:  A020411 A020412 A020413 * A020415 A020416 A020417

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified June 26 00:12 EDT 2022. Contains 354870 sequences. (Running on oeis4.)