A041668 - OEIS

A041668

Numerators of continued fraction convergents to sqrt(353).

18, 19, 75, 94, 263, 357, 620, 977, 1597, 2574, 4171, 10916, 15087, 56177, 71264, 2621681, 2692945, 10700516, 13393461, 37487438, 50880899, 88368337, 139249236, 227617573, 366866809, 594484382

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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, 142528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n) = 142528*a(n-15) + a(n-30) for n>29. [Bruno Berselli, Nov 06 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[353], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 142528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {18, 19, 75, 94, 263, 357, 620, 977, 1597, 2574, 4171, 10916, 15087, 56177, 71264, 2621681, 2692945, 10700516, 13393461, 37487438, 50880899, 88368337, 139249236, 227617573, 366866809, 594484382, 1555835573, 2150319955, 8006795438, 10157115393}, 30] (* Harvey P. Dale, Dec 31 2022 *)

CROSSREFS

Cf. A041669.

Sequence in context: A042517 A041660 A257314 * A041666 A041670 A041672

Adjacent sequences: A041665 A041666 A041667 * A041669 A041670 A041671

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved