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A042054
Numerators of continued fraction convergents to sqrt(551).
2
23, 47, 399, 446, 3967, 8380, 389447, 787274, 6687639, 7474913, 66486943, 140448799, 6527131697, 13194712193, 112084829241, 125279541434, 1114321160713, 2353921862860, 109394726852273, 221143375567406, 1878541731391521, 2099685106958927, 18676022587062937
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 16760, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^11 -23*x^10 +47*x^9 -399*x^8 +446*x^7 -3967*x^6 -8380*x^5 -3967*x^4 -446*x^3 -399*x^2 -47*x -23) / (x^12 -16760*x^6 +1). - Colin Barker, Nov 30 2013
a(n) = 16760*a(n-6) - a(n-12). - Wesley Ivan Hurt, Sep 05 2022
MATHEMATICA
Numerator[Convergents[Sqrt[551], 30]] (* Vincenzo Librandi, Nov 14 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 16760, 0, 0, 0, 0, 0, -1}, {23, 47, 399, 446, 3967, 8380, 389447, 787274, 6687639, 7474913, 66486943, 140448799}, 30] (* Harvey P. Dale, Feb 11 2022 *)
CROSSREFS
Sequence in context: A054203 A247673 A216569 * A084667 A255596 A157358
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 30 2013
STATUS
approved