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A041194
Numerators of continued fraction convergents to sqrt(108).
2
10, 21, 31, 52, 239, 291, 530, 1351, 27550, 56451, 84001, 140452, 645809, 786261, 1432070, 3650401, 74440090, 152530581, 226970671, 379501252, 1744975679, 2124476931, 3869452610, 9863382151, 201137095630, 412137573411, 613274669041, 1025412242452
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,2702,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^15 -10*x^14 +21*x^13 -31*x^12 +52*x^11 -239*x^10 +291*x^9 -530*x^8 -1351*x^7 -530*x^6 -291*x^5 -239*x^4 -52*x^3 -31*x^2 -21*x -10) / ((x^8 -52*x^4 +1)*(x^8 +52*x^4 +1)). - Colin Barker, Nov 05 2013
MATHEMATICA
Numerator[Convergents[Sqrt[108], 30]] (* Vincenzo Librandi, Oct 30 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 2702, 0, 0, 0, 0, 0, 0, 0, -1}, {10, 21, 31, 52, 239, 291, 530, 1351, 27550, 56451, 84001, 140452, 645809, 786261, 1432070, 3650401}, 30] (* Harvey P. Dale, Jul 26 2024 *)
CROSSREFS
Cf. A041195.
Sequence in context: A190326 A185691 A042291 * A042871 A041192 A061231
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 05 2013
STATUS
approved