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A042297 Denominators of continued fraction convergents to sqrt(674). 2
1, 1, 25, 26, 1325, 1351, 33749, 35100, 1788749, 1823849, 45561125, 47384974, 2414809825, 2462194799, 61507485001, 63969679800, 3259991475001, 3323961154801, 83035059190225, 86359020345026, 4400986076441525, 4487345096786551, 112097268399318749 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
G.f.: -(x^2-x-1)*(x^4+26*x^2+1) / (x^8-1350*x^4+1). - Colin Barker, Dec 07 2013
a(n) = 1350*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Jan 19 2014
MATHEMATICA
Denominator[Convergents[Sqrt[674], 30]] (* Vincenzo Librandi, Jan 19 2014 *)
PROG
(Magma) I:=[1, 1, 25, 26, 1325, 1351, 33749, 35100]; [n le 8 select I[n] else 1350*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Jan 19 2014
CROSSREFS
Sequence in context: A042294 A041311 A042296 * A042298 A157091 A070662
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 07 2013
STATUS
approved

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Last modified June 25 11:48 EDT 2024. Contains 373701 sequences. (Running on oeis4.)