A042345 - OEIS

A042345

Denominators of continued fraction convergents to sqrt(699).

1, 2, 7, 9, 16, 41, 57, 1466, 1523, 4512, 6035, 10547, 37676, 85899, 4504424, 9094747, 31788665, 40883412, 72672077, 186227566, 258899643, 6658718641, 6917618284, 20493955209, 27411573493, 47905528702, 171128159599, 390161847900, 20459544250399, 41309250348698

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

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, 4542100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

a(n) = 4542100*a(n-14) - a(n-28) for n>27. - Vincenzo Librandi, Jan 20 2014

MATHEMATICA

Denominator[Convergents[Sqrt[699], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4542100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 2, 7, 9, 16, 41, 57, 1466, 1523, 4512, 6035, 10547, 37676, 85899, 4504424, 9094747, 31788665, 40883412, 72672077, 186227566, 258899643, 6658718641, 6917618284, 20493955209, 27411573493, 47905528702, 171128159599, 390161847900}, 50] (* Harvey P. Dale, Nov 26 2016 *)

CROSSREFS

Cf. A042344.

Sequence in context: A022113 A041643 A041395 * A041973 A042807 A005988

Adjacent sequences: A042342 A042343 A042344 * A042346 A042347 A042348

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vincenzo Librandi, Jan 20 2014

STATUS

approved