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A042496
Numerators of continued fraction convergents to sqrt(776).
2
27, 28, 167, 195, 10697, 10892, 65157, 76049, 4171803, 4247852, 25411063, 29658915, 1626992473, 1656651388, 9910249413, 11566900801, 634522892667, 646089793468, 3864971860007, 4511061653475, 247462301147657, 251973362801132, 1507329115153317
OFFSET
0,1
LINKS
FORMULA
G.f.: (27 +28*x +167*x^2 +195*x^3 +167*x^4 -28*x^5 +27*x^6 -x^7)/(1 -390*x^4 +x^8). - Vincenzo Librandi, Nov 26 2013
a(n) = 390*a(n-4) - a(n-8). - Vincenzo Librandi, Nov 26 2013
MATHEMATICA
Numerator[Convergents[Sqrt[776], 30]] (* Harvey P. Dale, Mar 09 2013 *)
CoefficientList[Series[(27 + 28 x + 167 x^2 + 195 x^3 + 167 x^4 - 28 x^5 + 27 x^6 - x^7)/(1 - 390 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 26 2013 *)
PROG
(Magma) I:=[27, 28, 167, 195, 10697, 10892, 65157, 76049]; [n le 8 select I[n] else 390*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Nov 26 2013
CROSSREFS
Cf. A042497.
Sequence in context: A338447 A042492 A042490 * A042494 A042498 A042500
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Harvey P. Dale, Mar 09 2013
STATUS
approved