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A042453 Denominators of continued fraction convergents to sqrt(754). 2
1, 2, 11, 13, 24, 37, 61, 342, 745, 40572, 81889, 450017, 531906, 981923, 1513829, 2495752, 13992589, 30480930, 1659962809, 3350406548, 18411995549, 21762402097, 40174397646, 61936799743, 102111197389, 572492786688, 1247096770765, 67915718407998 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,40914,0,0,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^16 -2*x^15 +11*x^14 -13*x^13 +24*x^12 -37*x^11 +61*x^10 -342*x^9 +745*x^8 +342*x^7 +61*x^6 +37*x^5 +24*x^4 +13*x^3 +11*x^2 +2*x +1) / (x^18 +40914*x^9 -1). - Colin Barker, Dec 14 2013

MATHEMATICA

Denominator[Convergents[Sqrt[754], 30]] (* Harvey P. Dale, Apr 14 2013 *)

CoefficientList[Series[-(x^16 - 2 x^15 + 11 x^14 - 13 x^13 + 24 x^12 - 37 x^11 + 61 x^10 - 342 x^9 + 745 x^8 + 342 x^7 + 61 x^6 + 37 x^5 + 24 x^4 + 13 x^3 + 11 x^2 + 2 x + 1)/(x^18 + 40914 x^9 - 1), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 22 2014 *)

CROSSREFS

Cf. A042452, A040726.

Sequence in context: A090416 A090430 A022115 * A041885 A247338 A154742

Adjacent sequences:  A042450 A042451 A042452 * A042454 A042455 A042456

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 14 2013

STATUS

approved

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Last modified July 19 10:45 EDT 2019. Contains 325155 sequences. (Running on oeis4.)