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A042441
Denominators of continued fraction convergents to sqrt(748).
2
1, 2, 3, 20, 103, 123, 1579, 1702, 10089, 62236, 72325, 206886, 11244169, 22695224, 33939393, 226331582, 1165597303, 1391928885, 17868743923, 19260672808, 114172107963, 704293320586, 818465428549, 2341224177684, 127244571023485, 256830366224654
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11316494, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
a(n) = 11316494*a(n-12) - a(n-24) for n>23. - Vincenzo Librandi, Jan 22 2014
MATHEMATICA
Denominator[Convergents[Sqrt[748], 30]] (* Vincenzo Librandi, Jan 22 2014 *)
PROG
(Magma) I:=[1, 2, 3, 20, 103, 123, 1579, 1702, 10089, 62236, 72325, 206886, 11244169, 22695224, 33939393, 226331582, 1165597303, 1391928885, 17868743923, 19260672808, 114172107963, 704293320586, 818465428549, 2341224177684]; [n le 24 select I[n] else 11316494*Self(n-12)-Self(n-24): n in [1..40]]; // Vincenzo Librandi, Jan 22 2014
CROSSREFS
Cf. A042440.
Sequence in context: A258089 A165960 A125763 * A128977 A375683 A069323
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Jan 22 2014
STATUS
approved