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A041952
Numerators of continued fraction convergents to sqrt(499).
2
22, 45, 67, 1452, 1519, 4490, 199079, 402648, 601727, 13038915, 13640642, 40320199, 1787729398, 3615778995, 5403508393, 117089455248, 122492963641, 362075382530, 16053809794961, 32469694972452, 48523504767413, 1051463295088125, 1099986799855538
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 8980, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^11 -22*x^10 +45*x^9 -67*x^8 +1452*x^7 -1519*x^6 -4490*x^5 -1519*x^4 -1452*x^3 -67*x^2 -45*x -22) / (x^12 -8980*x^6 +1). - Colin Barker, Nov 28 2013
a(n) = 8980*a(n-6)-a(n-12). - Wesley Ivan Hurt, May 27 2021
MATHEMATICA
Numerator[Convergents[Sqrt[499], 30]] (* Vincenzo Librandi, Nov 12 2013 *)
CROSSREFS
Sequence in context: A335468 A041956 A041954 * A195149 A291557 A165309
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 28 2013
STATUS
approved