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A041868
Numerators of continued fraction convergents to sqrt(456).
2
21, 43, 64, 299, 363, 1025, 43413, 87851, 131264, 612907, 744171, 2101249, 88996629, 180094507, 269091136, 1256459051, 1525550187, 4307559425, 182443046037, 369193651499, 551636697536, 2575740441643, 3127377139179, 8830494720001, 374008155379221
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,2050,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^11 -21*x^10 +43*x^9 -64*x^8 +299*x^7 -363*x^6 -1025*x^5 -363*x^4 -299*x^3 -64*x^2 -43*x -21) / (x^12 -2050*x^6 +1). - Colin Barker, Nov 26 2013
MATHEMATICA
Numerator[Convergents[Sqrt[456], 30]] (* Vincenzo Librandi, Nov 11 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 2050, 0, 0, 0, 0, 0, -1}, {21, 43, 64, 299, 363, 1025, 43413, 87851, 131264, 612907, 744171, 2101249}, 30] (* Harvey P. Dale, Sep 06 2024 *)
CROSSREFS
Sequence in context: A335477 A263877 A041870 * A135391 A118569 A195049
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 26 2013
STATUS
approved