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A041292
Numerators of continued fraction convergents to sqrt(159).
2
12, 13, 25, 38, 63, 227, 290, 517, 807, 1324, 32583, 33907, 66490, 100397, 166887, 601058, 767945, 1369003, 2136948, 3505951, 86279772, 89785723, 176065495, 265851218, 441916713, 1591601357, 2033518070, 3625119427, 5658637497, 9283756924, 228468803673
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 2648, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^19 -12*x^18 +13*x^17 -25*x^16 +38*x^15 -63*x^14 +227*x^13 -290*x^12 +517*x^11 -807*x^10 -1324*x^9 -807*x^8 -517*x^7 -290*x^6 -227*x^5 -63*x^4 -38*x^3 -25*x^2 -13*x -12) / (x^20 -2648*x^10 +1). - Colin Barker, Nov 06 2013
MATHEMATICA
Numerator[Convergents[Sqrt[159], 30]] (* Harvey P. Dale, Jan 05 2012 *)
CROSSREFS
Cf. A041293.
Sequence in context: A108709 A138821 A022102 * A041679 A041294 A041290
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 06 2013
STATUS
approved