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A042333 Denominators of continued fraction convergents to sqrt(693). 2
1, 3, 37, 40, 197, 237, 3041, 9360, 489761, 1478643, 18233477, 19712120, 97081957, 116794077, 1498610881, 4612626720, 241355200321, 728678227683, 8985493932517, 9714172160200, 47842182573317, 57556354733517, 738518439375521, 2273111672860080 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,492802,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^14 -3*x^13 +37*x^12 -40*x^11 +197*x^10 -237*x^9 +3041*x^8 -9360*x^7 -3041*x^6 -237*x^5 -197*x^4 -40*x^3 -37*x^2 -3*x -1) / ((x^8 -702*x^4 +1)*(x^8 +702*x^4 +1)). - Colin Barker, Dec 08 2013

MATHEMATICA

Denominator[Convergents[Sqrt[693], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

CROSSREFS

Cf. A042332, A040666.

Sequence in context: A176240 A116184 A037000 * A106103 A224471 A106996

Adjacent sequences:  A042330 A042331 A042332 * A042334 A042335 A042336

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 08 2013

STATUS

approved

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Last modified November 23 22:48 EST 2014. Contains 249866 sequences.