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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 20 05:30 EDT 2024. Contains 374441 sequences. (Running on oeis4.)