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A042668 Numerators of continued fraction convergents to sqrt(864). 2
29, 59, 88, 147, 823, 970, 13433, 14403, 85448, 99851, 185299, 470449, 27471341, 55413131, 82884472, 138297603, 774372487, 912670090, 12639083657, 13551753747, 80397852392, 93949606139, 174347458531, 442644523201, 25847729804189, 52138104131579 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,940898,0,0,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^23 -29*x^22 +59*x^21 -88*x^20 +147*x^19 -823*x^18 +970*x^17 -13433*x^16 +14403*x^15 -85448*x^14 +99851*x^13 -185299*x^12 -470449*x^11 -185299*x^10 -99851*x^9 -85448*x^8 -14403*x^7 -13433*x^6 -970*x^5 -823*x^4 -147*x^3 -88*x^2 -59*x -29) / ((x^4 -6*x^3 +13*x^2 -6*x +1)*(x^4 -10*x^2 +1)*(x^4 +10*x^2 +1)*(x^4 +6*x^3 +13*x^2 +6*x +1)*(x^8 +10*x^6 +99*x^4 +10*x^2 +1)). - Colin Barker, Dec 20 2013

MATHEMATICA

Numerator[Convergents[Sqrt[864], 30]] (* Vincenzo Librandi, Nov 30 2013 *)

CROSSREFS

Cf. A042669, A040834.

Sequence in context: A083821 A055785 A042666 * A042664 A042662 A128469

Adjacent sequences:  A042665 A042666 A042667 * A042669 A042670 A042671

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 20 2013

STATUS

approved

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Last modified April 16 18:53 EDT 2021. Contains 343050 sequences. (Running on oeis4.)