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A042079
Denominators of continued fraction convergents to sqrt(563).
2
1, 1, 3, 4, 11, 257, 525, 782, 2089, 2871, 134155, 137026, 408207, 545233, 1498673, 35014712, 71528097, 106542809, 284613715, 391156524, 18277813819, 18668970343, 55615754505, 74284724848, 204185204201, 4770544421471, 9745274047143, 14515818468614
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 136244, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^18 -x^17 +3*x^16 -4*x^15 +11*x^14 -257*x^13 +525*x^12 -782*x^11 +2089*x^10 -2871*x^9 -2089*x^8 -782*x^7 -525*x^6 -257*x^5 -11*x^4 -4*x^3 -3*x^2 -x -1) / (x^20 -136244*x^10 +1). - Colin Barker, Dec 01 2013
a(n) = 136244*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Jan 14 2014
MATHEMATICA
Denominator[Convergents[Sqrt[563], 30]] (* Vincenzo Librandi, Jan 14 2014 *)
CROSSREFS
Sequence in context: A343931 A041299 A001112 * A045826 A346471 A084200
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 01 2013
STATUS
approved