A042076 Numerators of continued fraction convergents to sqrt(562).

23, 24, 71, 166, 403, 1778, 2181, 12683, 14864, 339691, 354555, 2112466, 2467021, 11980550, 26428121, 64836792, 156101705, 220938497, 10319272567, 10540211064, 31399694695, 73339600454, 178078895603

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 441876994, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Mathematica

Numerator[Convergents[Sqrt[562], 30]] (* Vincenzo Librandi, Nov 15 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 441876994, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {23, 24, 71, 166, 403, 1778, 2181, 12683, 14864, 339691, 354555, 2112466, 2467021, 11980550, 26428121, 64836792, 156101705, 220938497, 10319272567, 10540211064, 31399694695, 73339600454, 178078895603, 785655182866, 963734078469, 5604325575211, 6568059653680, 150101637956171, 156669697609851, 933450126005426, 1090119823615277, 5293929420466534, 11677978664548345, 28649886749563224, 68977752163674793, 97627638913238017}, 30] (* Harvey P. Dale, Aug 04 2021 *)

Crossrefs

Cf. A042077.

Sequence in context: A045859 A042078 A042080 * A042074 A214510 A042084

Adjacent sequences: A042073 A042074 A042075 * A042077 A042078 A042079

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved