A042889 Denominators of continued fraction convergents to sqrt(976).

1, 4, 25, 29, 83, 278, 361, 1722, 3805, 13137, 30079, 133453, 163532, 624049, 1411630, 2035679, 13625704, 56538495, 3519012394, 14132588071, 88314540820, 102447128891, 293208798602, 982073524697, 1275282323299, 6083202817893, 13441687959085, 46408266695148

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, 0, 0, 0, 0, 3532638098, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 3532638098*a(n-18) - a(n-36) for n > 35. - Vincenzo Librandi, Jan 31 2014

Mathematica

Denominator[Convergents[Sqrt[976], 30]] (* Harvey P. Dale, Mar 20 2013 *)

Crossrefs

Cf. A042888, A040944.

Sequence in context: A095970 A297963 A020221 * A042177 A302416 A303183

Adjacent sequences: A042886 A042887 A042888 * A042890 A042891 A042892

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Jan 31 2014

Status

approved