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 A042484 Numerators of continued fraction convergents to sqrt(770). 2
 27, 28, 83, 111, 6077, 6188, 18453, 24641, 1349067, 1373708, 4096483, 5470191, 299486797, 304956988, 909400773, 1214357761, 66484719867, 67699077628, 201882875123, 269581952751, 14759308323677, 15028890276428 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (0,0,0,222,0,0,0,-1). FORMULA G.f.: (27 +28*x +83*x^2 +111*x^3 +83*x^4 -28*x^5 +27*x^6 -x^7)/(1 -222*x^4 +x^8). - Vincenzo Librandi, Nov 26 2013 a(n) = 222*a(n-4) - a(n-8). - Vincenzo Librandi, Nov 26 2013 MATHEMATICA Numerator[Convergents[Sqrt[770], 30]] (* or *) CoefficientList[Series[(27 + 28 x + 83 x^2 + 111 x^3 + 83 x^4 - 28 x^5 + 27 x^6 - x^7)/(1 - 222 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 25 2013 *) PROG (Magma) I:=[27, 28, 83, 111, 6077, 6188, 18453, 24641]; [n le 8 select I[n] else 222*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Nov 26 2013 CROSSREFS Cf. A042485. Sequence in context: A141490 A242184 A042482 * A042480 A042478 A042476 Adjacent sequences: A042481 A042482 A042483 * A042485 A042486 A042487 KEYWORD nonn,cofr,frac,easy AUTHOR N. J. A. Sloane. STATUS approved

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Last modified July 13 14:24 EDT 2024. Contains 374284 sequences. (Running on oeis4.)