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A041863
Denominators of continued fraction convergents to sqrt(453).
2
1, 3, 4, 7, 74, 1043, 10504, 11547, 22051, 77700, 3285451, 9934053, 13219504, 23153557, 244755074, 3449724593, 34742001004, 38191725597, 72933726601, 256992905400, 10866635753401, 32856900165603, 43723535919004, 76580436084607, 809527896765074
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 3307502, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^18 -3*x^17 +4*x^16 -7*x^15 +74*x^14 -1043*x^13 +10504*x^12 -11547*x^11 +22051*x^10 -77700*x^9 -22051*x^8 -11547*x^7 -10504*x^6 -1043*x^5 -74*x^4 -7*x^3 -4*x^2 -3*x -1) / (x^20 -3307502*x^10 +1). - Colin Barker, Nov 26 2013
a(n) = 3307502*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Dec 26 2013
MATHEMATICA
Denominator[Convergents[Sqrt[453], 30]] (* Vincenzo Librandi, Dec 26 2013 *)
PROG
(Magma) I:=[1, 3, 4, 7, 74, 1043, 10504, 11547, 22051, 77700, 3285451, 9934053, 13219504, 23153557, 244755074, 3449724593, 34742001004, 38191725597, 72933726601, 256992905400]; [n le 20 select I[n] else 3307502*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 26 2013
CROSSREFS
Sequence in context: A134471 A256725 A041463 * A042543 A041987 A100978
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 26 2013
STATUS
approved