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 A041840 Numerators of continued fraction convergents to sqrt(442). 3
 21, 883, 37107, 1559377, 65530941, 2753858899, 115727604699, 4863313256257, 204374884367493, 8588608456690963, 360925930065387939, 15167477671202984401, 637394988120590732781, 26785756978736013761203 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (42,1). FORMULA G.f.: (21+x)/(1-42*x-x^2). [Philippe Deléham, Nov 23 2008] a(n) = 42*a(n-1)+a(n-2) for n>1, a(0)=21, a(1)=883. [Philippe Deléham, Nov 23 2008] MATHEMATICA Numerator[Convergents[Sqrt[442], 30]] (* or *) LinearRecurrence[{42, 1}, {21, 883}, 30] (* Harvey P. Dale, Nov 20 2012 *) CoefficientList[Series[(21 + x)/(1 - 42 x - x^2), {x, 0, 25}], x] (* Vincenzo Librandi, Nov 10 2013 *) CROSSREFS Cf. A041841. Sequence in context: A204196 A238653 A041843 * A012793 A015305 A101732 Adjacent sequences: A041837 A041838 A041839 * A041841 A041842 A041843 KEYWORD nonn,cofr,frac,easy,less AUTHOR N. J. A. Sloane. STATUS approved

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Last modified August 13 22:54 EDT 2024. Contains 375146 sequences. (Running on oeis4.)