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A042224
Numerators of continued fraction convergents to sqrt(638).
2
25, 76, 101, 682, 1465, 9472, 10937, 42283, 2125087, 6417544, 8542631, 57673330, 123889291, 801009076, 924898367, 3575704177, 179710107217, 542706025828, 722416133045, 4877202824098, 10476821781241, 67738133511544, 78214955292785, 302382999389899
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 84566, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^15 -25*x^14 +76*x^13 -101*x^12 +682*x^11 -1465*x^10 +9472*x^9 -10937*x^8 -42283*x^7 -10937*x^6 -9472*x^5 -1465*x^4 -682*x^3 -101*x^2 -76*x -25) / (x^16 -84566*x^8 +1). - Colin Barker, Dec 04 2013
MATHEMATICA
Numerator[Convergents[Sqrt[638], 30]] (* Vincenzo Librandi, Nov 19 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 84566, 0, 0, 0, 0, 0, 0, 0, -1}, {25, 76, 101, 682, 1465, 9472, 10937, 42283, 2125087, 6417544, 8542631, 57673330, 123889291, 801009076, 924898367, 3575704177}, 30] (* Harvey P. Dale, Aug 28 2023 *)
CROSSREFS
Sequence in context: A118610 A008852 A042226 * A042228 A042230 A189642
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 04 2013
STATUS
approved