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A042430
Numerators of continued fraction convergents to sqrt(743).
2
27, 82, 109, 845, 22924, 161313, 184237, 714024, 38741533, 116938623, 155680156, 1206699715, 32736572461, 230362706942, 263099279403, 1019660545151, 55324768717557, 166993966697822, 222318735415379, 1723225114605475, 46749396829763204, 328969002922947903
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 1428048, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^15 - 27*x^14 + 82*x^13 - 109*x^12 + 845*x^11 - 22924*x^10 + 161313*x^9 - 184237*x^8 - 714024*x^7 - 184237*x^6 - 161313*x^5 - 22924*x^4 - 845*x^3 - 109*x^2 - 82*x - 27) / (x^16 - 1428048*x^8 + 1). - Colin Barker, Dec 14 2013
MATHEMATICA
Numerator[Convergents[Sqrt[743], 30]] (* Vincenzo Librandi, Nov 24 2013 *)
CROSSREFS
Sequence in context: A031455 A045004 A042432 * A195028 A042434 A042436
KEYWORD
nonn,frac,easy
EXTENSIONS
More terms from Colin Barker, Dec 14 2013
STATUS
approved