A042697 - OEIS

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A042697

Denominators of continued fraction convergents to sqrt(878).

2

1, 1, 2, 3, 8, 19, 84, 103, 2968, 3071, 15252, 33575, 82402, 115977, 198379, 314356, 18431027, 18745383, 37176410, 55921793, 149019996, 353961785, 1564867136, 1918828921, 55292076924, 57210905845, 284135700304, 625482306453, 1535100313210, 2160582619663

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OFFSET

0,3

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, 18629406, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

a(n) = 18629406*a(n-16) - a(n-32) for n>31. - Vincenzo Librandi, Jan 26 2014

MATHEMATICA

Denominator[Convergents[Sqrt[878], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

CROSSREFS

Cf. A040848, A042696.

Sequence in context: A006609 A005663 A112834 * A042905 A247568 A337281

Adjacent sequences: A042694 A042695 A042696 * A042698 A042699 A042700

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vincenzo Librandi, Jan 26 2014

STATUS

approved