A042933 Denominators of continued fraction convergents to sqrt(998).

1, 1, 2, 5, 22, 181, 203, 790, 993, 30580, 31573, 125299, 156872, 1380275, 5677972, 12736219, 18414191, 31150410, 1949739611, 1980890021, 3930629632, 9842149285, 43299226772, 356235963461, 399535190233, 1554841534160, 1954376724393, 60186143265950, 62140519990343

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, 0, 0, 1968153802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 1968153802*a(n-18) - a(n-36) for n > 35. - Vincenzo Librandi, Feb 01 2014

Mathematica

Denominator[Convergents[Sqrt[998], 30]] (* Vincenzo Librandi, Feb 01 2014 *)

Crossrefs

Cf. A042932, A040966.

Sequence in context: A262842 A361331 A342967 * A005203 A193660 A090450

Adjacent sequences: A042930 A042931 A042932 * A042934 A042935 A042936

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Feb 01 2014

Status

approved