A042629 Denominators of continued fraction convergents to sqrt(844).

1, 19, 39, 58, 329, 387, 1490, 1877, 3367, 5244, 8611, 13855, 36321, 231781, 268102, 2108495, 4485092, 15563771, 35612634, 86789039, 990292063, 4047957291, 5038249354, 19162705353, 273316124296, 839111078241, 1112427202537, 5288819888389, 59289445974816

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 309924629320335257289998, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 309924629320335257289998*a(n-48) - a(n-96) for n>95. - Vincenzo Librandi, Jan 26 2014

Mathematica

Denominator[Convergents[Sqrt[844], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

Crossrefs

Cf. A040814, A042628.

Sequence in context: A050813 A041712 A041710 * A041708 A079044 A258016

Adjacent sequences: A042626 A042627 A042628 * A042630 A042631 A042632

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 26 2014

Status

approved