A041402 Numerators of continued fraction convergents to sqrt(216).

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

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: A370405 A357625 A041404 * A041929 A341242 A174924

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