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A041960
Numerators of continued fraction convergents to sqrt(503).
2
22, 45, 112, 157, 3409, 3566, 10541, 24648, 1095053, 2214754, 5524561, 7739315, 168050176, 175789491, 519629158, 1215047807, 53981732666, 109178513139, 272338758944, 381517272083, 8284201472687, 8665718744770, 25615638962227, 59896996669224, 2661083492408083
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,49296,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^15 -22*x^14 +45*x^13 -112*x^12 +157*x^11 -3409*x^10 +3566*x^9 -10541*x^8 -24648*x^7 -10541*x^6 -3566*x^5 -3409*x^4 -157*x^3 -112*x^2 -45*x -22) / (x^16 -49296*x^8 +1). - Colin Barker, Nov 28 2013
MATHEMATICA
Numerator[Convergents[Sqrt[503], 30]] (* Vincenzo Librandi, Nov 12 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 49296, 0, 0, 0, 0, 0, 0, 0, -1}, {22, 45, 112, 157, 3409, 3566, 10541, 24648, 1095053, 2214754, 5524561, 7739315, 168050176, 175789491, 519629158, 1215047807}, 30] (* Harvey P. Dale, Jul 10 2024 *)
CROSSREFS
Sequence in context: A195149 A291557 A165309 * A041958 A041962 A041964
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 28 2013
STATUS
approved