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A041430
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Numerators of continued fraction convergents to sqrt(231).
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2
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15, 76, 2295, 11551, 348825, 1755676, 53019105, 266851201, 8058555135, 40559626876, 1224847361415, 6164796433951, 186168740379945, 937008498333676, 28296423690390225, 142419126950284801, 4300870232198934255
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,152,0,-1).
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FORMULA
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a(n) = 152*a(n-2)-a(n-4). G.f.: -(x^3 - 15*x^2 - 76*x - 15)/(x^4-152*x^2+1). [Colin Barker, Jul 15 2012]
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MATHEMATICA
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CoefficientList[Series[- (x^3 - 15 x^2 - 76 x - 15)/(x^4 - 152 x^2 + 1), {x, 0, 20}], x] (* Vincenzo Librandi, Oct 27 2013 *)
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CROSSREFS
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Cf. A041431.
Sequence in context: A212241 A000477 A302376 * A156941 A205440 A051423
Adjacent sequences: A041427 A041428 A041429 * A041431 A041432 A041433
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KEYWORD
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nonn,cofr,frac,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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