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A042688
Numerators of continued fraction convergents to sqrt(874).
2
29, 30, 59, 207, 473, 1626, 2099, 3725, 218149, 221874, 440023, 1541943, 3523909, 12113670, 15637579, 27751249, 1625210021, 1652961270, 3278171291, 11487475143, 26253121577, 90246839874, 116499961451, 206746801325, 12107814438301, 12314561239626
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 7450, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^15 -29*x^14 +30*x^13 -59*x^12 +207*x^11 -473*x^10 +1626*x^9 -2099*x^8 -3725*x^7 -2099*x^6 -1626*x^5 -473*x^4 -207*x^3 -59*x^2 -30*x -29) / (x^16 -7450*x^8 +1). - Colin Barker, Dec 21 2013
MATHEMATICA
Numerator[Convergents[Sqrt[874], 30]] (* Vincenzo Librandi, Dec 01 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 7450, 0, 0, 0, 0, 0, 0, 0, -1}, {29, 30, 59, 207, 473, 1626, 2099, 3725, 218149, 221874, 440023, 1541943, 3523909, 12113670, 15637579, 27751249}, 30] (* Harvey P. Dale, Dec 11 2014 *)
CROSSREFS
Sequence in context: A042700 A042690 A042692 * A042686 A042684 A042682
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 21 2013
STATUS
approved