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A042684
Numerators of continued fraction convergents to sqrt(872).
2
29, 30, 59, 443, 502, 6969, 7471, 59266, 66737, 126003, 7374911, 7500914, 14875825, 111631689, 126507514, 1756229371, 1882736885, 14935387566, 16818124451, 31753512017, 1858521821437, 1890275333454, 3748797154891, 28131855417691, 31880652572582
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 252006, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^19 -29*x^18 +30*x^17 -59*x^16 +443*x^15 -502*x^14 +6969*x^13 -7471*x^12 +59266*x^11 -66737*x^10 -126003*x^9 -66737*x^8 -59266*x^7 -7471*x^6 -6969*x^5 -502*x^4 -443*x^3 -59*x^2 -30*x -29) / ((x^10 -502*x^5 -1)*(x^10 +502*x^5 -1)). - Colin Barker, Dec 21 2013
a(n) = 252006*a(n-10) - a(n-20). - Wesley Ivan Hurt, Apr 16 2023
MATHEMATICA
Numerator/@Convergents[Sqrt[872], 30] (* Harvey P. Dale, May 02 2011 *)
CROSSREFS
Sequence in context: A042692 A042688 A042686 * A042682 A042706 A042708
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 21 2013
STATUS
approved