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A042459
Denominators of continued fraction convergents to sqrt(757).
2
1, 1, 2, 35, 37, 220, 1137, 1357, 24206, 25563, 49769, 2713089, 2762858, 5475947, 95853957, 101329904, 602503477, 3113847289, 3716350766, 66291810311, 70008161077, 136299971388, 7430206616029, 7566506587417, 14996713203446, 262510631045999, 277507344249445
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2738652, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
FORMULA
G.f.: -(x^20 -x^19 +2*x^18 -35*x^17 +37*x^16 -220*x^15 +1137*x^14 -1357*x^13 +24206*x^12 -25563*x^11 +49769*x^10 +25563*x^9 +24206*x^8 +1357*x^7 +1137*x^6 +220*x^5 +37*x^4 +35*x^3 +2*x^2 +x +1) / (x^22 +2738652*x^11 -1). - Colin Barker, Dec 14 2013
a(n) = 2738652*a(n-11) + a(n-22) for n>21. - Vincenzo Librandi, Jan 22 2014
MATHEMATICA
Denominator[Convergents[Sqrt[757], 30]] (* Harvey P. Dale, Apr 06 2013 *)
CROSSREFS
Sequence in context: A077747 A041012 A291162 * A276713 A257601 A282727
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 14 2013
STATUS
approved