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
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).
Crossrefs
Cf. A041403.
Programs
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Mathematica
Numerator[Convergents[Sqrt[216], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
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
Extensions
More terms from Colin Barker, Nov 07 2013