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A041402 Numerators of continued fraction convergents to sqrt(216). 2
14, 15, 44, 147, 338, 485, 13918, 14403, 42724, 142575, 327874, 470449, 13500446, 13970895, 41442236, 138297603, 318037442, 456335045, 13095418702, 13551753747, 40198926196, 134148532335, 308495990866, 442644523201, 12702542640494, 13145187163695 (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 (0,0,0,0,0,970,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11 -14*x^10 +15*x^9 -44*x^8 +147*x^7 -338*x^6 -485*x^5 -338*x^4 -147*x^3 -44*x^2 -15*x -14) / ((x^4 -10*x^2 +1)*(x^8 +10*x^6 +99*x^4 +10*x^2 +1)). - Colin Barker, Nov 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[216], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041403.

Sequence in context: A211144 A213386 A041404 * A041929 A174924 A041408

Adjacent sequences:  A041399 A041400 A041401 * A041403 A041404 A041405

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 07 2013

STATUS

approved

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Last modified March 18 16:00 EDT 2019. Contains 321292 sequences. (Running on oeis4.)