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A042400
Numerators of continued fraction convergents to sqrt(727).
2
26, 27, 701, 728, 38557, 39285, 1020682, 1059967, 56138966, 57198933, 1486112291, 1543311224, 81738295939, 83281607163, 2163778475014, 2247060082177, 119010902748218, 121257962830395, 3150459973508093
OFFSET
0,1
LINKS
FORMULA
G.f.: (26 +27*x +701*x^2 +728*x^3 +701*x^4 -27*x^5 +26*x^6 -x^7)/(1 -1456*x^4 +x^8). - Vincenzo Librandi, Nov 23 2013
a(n) = 1456*a(n-4) - a(n-8). - Vincenzo Librandi, Nov 23 2013
MATHEMATICA
Numerator[Convergents[Sqrt[727], 30]] (* or *) CoefficientList[Series[(26 + 27 x + 701 x^2 + 728 x^3 + 701 x^4 - 27 x^5 + 26 x^6 - x^7)/(1 - 1456 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 23 2013 *)
PROG
(Magma) I:=[26, 27, 701, 728, 38557, 39285, 1020682, 1059967]; [n le 8 select I[n] else 1456*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Nov 23 2013
CROSSREFS
Cf. A042401.
Sequence in context: A137119 A042396 A042398 * A042401 A042402 A247394
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved