A041824 Numerators of continued fraction convergents to sqrt(433).

20, 21, 104, 437, 978, 2393, 3371, 12506, 165949, 178455, 344404, 522859, 867263, 11797278, 36259097, 48056375, 132371847, 312800069, 1383572123, 5847088561, 7230660684, 295073515921, 302304176605

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, 0, 0, 0, 14461321368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 14461321368*a(n-21) + a(n-42) for n>41. [Bruno Berselli, Nov 09 2013]

Mathematica

Numerator[Convergents[Sqrt[433], 30]] (* Vincenzo Librandi, Nov 09 2013 *)

Crossrefs

Cf. A041825.

Sequence in context: A041820 A329599 A041826 * A309829 A037308 A041828

Adjacent sequences: A041821 A041822 A041823 * A041825 A041826 A041827

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved