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A042648
Numerators of continued fraction convergents to sqrt(854).
2
29, 117, 263, 3010, 12303, 138343, 288989, 1294299, 75358331, 302727623, 680813577, 7791676970, 31847521457, 358114412997, 748076347451, 3350419802801, 195072424909909, 783640119442437, 1762352663794783, 20169519421185050, 82440430348534983
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 2588598, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^15 -29*x^14 +117*x^13 -263*x^12 +3010*x^11 -12303*x^10 +138343*x^9 -288989*x^8 -1294299*x^7 -288989*x^6 -138343*x^5 -12303*x^4 -3010*x^3 -263*x^2 -117*x -29) / (x^16 -2588598*x^8 +1). - Colin Barker, Dec 20 2013
MATHEMATICA
Numerator[Convergents[Sqrt[854], 30]] (* Vincenzo Librandi, Nov 30 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 2588598, 0, 0, 0, 0, 0, 0, 0, -1}, {29, 117, 263, 3010, 12303, 138343, 288989, 1294299, 75358331, 302727623, 680813577, 7791676970, 31847521457, 358114412997, 748076347451, 3350419802801}, 30] (* Harvey P. Dale, Oct 13 2024 *)
CROSSREFS
Sequence in context: A244635 A042646 A188359 * A233046 A042650 A158560
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 20 2013
STATUS
approved