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A042342 Numerators of continued fraction convergents to sqrt(698). 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 19 22:12 EST 2022. Contains 350466 sequences. (Running on oeis4.)