A042342 Numerators of continued fraction convergents to sqrt(698).

26, 53, 132, 185, 317, 502, 819, 2140, 5099, 267288, 539675, 1346638, 1886313, 3232951, 5119264, 8352215, 21823694, 51999603, 2725803050, 5503605703, 13733014456, 19236620159, 32969634615, 52206254774, 85175889389, 222558033552, 530291956493, 27797739771188

Offset

0,1

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, 10198, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^17 -26*x^16 +53*x^15 -132*x^14 +185*x^13 -317*x^12 +502*x^11 -819*x^10 +2140*x^9 +5099*x^8 +2140*x^7 +819*x^6 +502*x^5 +317*x^4 +185*x^3 +132*x^2 +53*x +26) / (x^18 +10198*x^9 -1). - Colin Barker, Dec 09 2013

Mathematica

Numerator[Convergents[Sqrt[698], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

Crossrefs

Cf. A042343, A040671.

Sequence in context: A042338 A042336 A042334 * A042340 A042344 A042346

Adjacent sequences: A042339 A042340 A042341 * A042343 A042344 A042345

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved