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A041553
Denominators of continued fraction convergents to sqrt(294).
2
1, 6, 7, 34, 41, 280, 9561, 57646, 67207, 326474, 393681, 2688560, 91804721, 553516886, 645321607, 3134803314, 3780124921, 25815552840, 881508921481, 5314869081726, 6196378003207, 30100381094554, 36296759097761, 247880935681120, 8464248572255841
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,9602,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^10-6*x^9+7*x^8-34*x^7+41*x^6-280*x^5-41*x^4-34*x^3-7*x^2-6*x-1) / ((x^6-98*x^3+1)*(x^6+98*x^3+1)). - Colin Barker, Nov 18 2013
a(n) = 9602*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 20 2013
MATHEMATICA
Denominator[Convergents[Sqrt[294 ], 30]] (* Vincenzo Librandi, Dec 20 2013 *)
PROG
(Magma) I:=[1, 6, 7, 34, 41, 280, 9561, 57646, 67207, 326474, 393681, 2688560]; [n le 12 select I[n] else 9602*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 20 2013
CROSSREFS
Sequence in context: A292106 A037375 A159582 * A047190 A359530 A237711
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 18 2013
STATUS
approved