A041864 - OEIS

A041864

Numerators of continued fraction convergents to sqrt(454).

21, 64, 213, 277, 3814, 7905, 27529, 62963, 90492, 153455, 704312, 4379327, 5083639, 39964800, 45048439, 85013239, 130061678, 2686246799, 2816308477, 5502555276, 8318863753, 63734601547, 72053465300

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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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33832080168351370, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

a(n) = 33832080168351370*a(n-34) - a(n-68) for n>67. [Bruno Berselli, Nov 11 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[454], 30]] (* Vincenzo Librandi, Nov 11 2013 *)

CROSSREFS

Cf. A041865.

Sequence in context: A033481 A041862 A041860 * A041866 A020211 A014641

Adjacent sequences: A041861 A041862 A041863 * A041865 A041866 A041867

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved