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A042345
Denominators of continued fraction convergents to sqrt(699).
2
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
OFFSET
0,2
LINKS
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
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Jan 20 2014
STATUS
approved