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A042362 Numerators of continued fraction convergents to sqrt(708). 2
26, 27, 53, 80, 133, 612, 2581, 10936, 13517, 24453, 37970, 62423, 3283966, 3346389, 6630355, 9976744, 16607099, 76405140, 322227659, 1365315776, 1687543435, 3052859211, 4740402646, 7793261857, 409990019210, 417783281067, 827773300277, 1245556581344 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,124846,0,0,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^23 -26*x^22 +27*x^21 -53*x^20 +80*x^19 -133*x^18 +612*x^17 -2581*x^16 +10936*x^15 -13517*x^14 +24453*x^13 -37970*x^12 -62423*x^11 -37970*x^10 -24453*x^9 -13517*x^8 -10936*x^7 -2581*x^6 -612*x^5 -133*x^4 -80*x^3 -53*x^2 -27*x -26) / (x^24 -124846*x^12 +1). - Colin Barker, Dec 09 2013
MATHEMATICA
Numerator[Convergents[Sqrt[708], 30]] (* Vincenzo Librandi, Nov 22 2013 *)
CROSSREFS
Sequence in context: A296868 A277602 A022396 * A042364 A042366 A042368
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 09 2013
STATUS
approved

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Last modified May 21 21:53 EDT 2024. Contains 372738 sequences. (Running on oeis4.)