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A041340
Numerators of continued fraction convergents to sqrt(184).
2
13, 14, 27, 95, 217, 312, 841, 1153, 3147, 10594, 13741, 24335, 646451, 670786, 1317237, 4622497, 10562231, 15184728, 40931687, 56116415, 153164517, 515609966, 668774483, 1184384449, 31462770157, 32647154606, 64109924763, 224976928895, 514063782553
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48670, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^23 -13*x^22 +14*x^21 -27*x^20 +95*x^19 -217*x^18 +312*x^17 -841*x^16 +1153*x^15 -3147*x^14 +10594*x^13 -13741*x^12 -24335*x^11 -13741*x^10 -10594*x^9 -3147*x^8 -1153*x^7 -841*x^6 -312*x^5 -217*x^4 -95*x^3 -27*x^2 -14*x -13) / (x^24 -48670*x^12 +1). - Colin Barker, Nov 15 2013
a(n) = 48670*a(n-12) - a(n-24). - Wesley Ivan Hurt, Jun 22 2022
MATHEMATICA
Numerator[Convergents[Sqrt[184], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
CROSSREFS
Sequence in context: A224224 A041342 A041344 * A041338 A042411 A167996
KEYWORD
nonn,cofr,frac,easy
EXTENSIONS
More terms from Colin Barker, Nov 15 2013
STATUS
approved