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A041378
Numerators of continued fraction convergents to sqrt(204).
2
14, 43, 57, 100, 657, 757, 1414, 4999, 141386, 429157, 570543, 999700, 6568743, 7568443, 14137186, 49980001, 1413577214, 4290711643, 5704288857, 9995000500, 65674291857, 75669292357, 141343584214, 499700044999, 14132944844186, 42898534577557, 57031479421743
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,9998,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^15 -14*x^14 +43*x^13 -57*x^12 +100*x^11 -657*x^10 +757*x^9 -1414*x^8 -4999*x^7 -1414*x^6 -757*x^5 -657*x^4 -100*x^3 -57*x^2 -43*x -14) / ((x^8 -100*x^4 +1)*(x^8 +100*x^4 +1)). - Colin Barker, Nov 07 2013
MATHEMATICA
Numerator[Convergents[Sqrt[204], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 9998, 0, 0, 0, 0, 0, 0, 0, -1}, {14, 43, 57, 100, 657, 757, 1414, 4999, 141386, 429157, 570543, 999700, 6568743, 7568443, 14137186, 49980001}, 30] (* Harvey P. Dale, Oct 03 2022 *)
CROSSREFS
Cf. A041379.
Sequence in context: A292051 A242897 A120714 * A302219 A302665 A041380
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 07 2013
STATUS
approved