

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
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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



