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A041473
Denominators of continued fraction convergents to sqrt(252).
2
1, 1, 7, 8, 247, 255, 1777, 2032, 62737, 64769, 451351, 516120, 15934951, 16451071, 114641377, 131092448, 4047414817, 4178507265, 29118458407, 33296965672, 1028027428567, 1061324394239, 7395973794001, 8457298188240, 261114919441201, 269572217629441
OFFSET
0,3
FORMULA
G.f.: -(x^2-x-1)*(x^4+8*x^2+1) / ((x^4-16*x^2+1)*(x^4+16*x^2+1)). - Colin Barker, Nov 18 2013
a(n) = 254*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 18 2013
MATHEMATICA
Denominator[Convergents[Sqrt[252], 30]] (* Vincenzo Librandi, Dec 18 2013 *)
PROG
(Magma) I:=[1, 1, 7, 8, 247, 255, 1777, 2032]; [n le 8 select I[n] else 254*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 18 2013
CROSSREFS
Sequence in context: A041110 A041259 A371104 * A041751 A042093 A042499
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 18 2013
STATUS
approved

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