A041568 - OEIS

A041568

Numerators of continued fraction convergents to sqrt(302).

17, 35, 52, 87, 139, 643, 1425, 2068, 34513, 36581, 107675, 467281, 574956, 1042237, 1617193, 4276623, 147022375, 298321373, 445343748, 743665121, 1189008869, 5499700597, 12188410063, 17688110660

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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, 0, 8553246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

a(n) = 8553246*a(n-16) - a(n-32). - Wesley Ivan Hurt, Jan 02 2024

MATHEMATICA

Numerator[Convergents[Sqrt[302], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041569.

Sequence in context: A102813 A360573 A271536 * A042305 A041566 A004921

Adjacent sequences: A041565 A041566 A041567 * A041569 A041570 A041571

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved