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A042574 Numerators of continued fraction convergents to sqrt(816). 2
28, 29, 57, 200, 657, 2171, 2828, 4999, 282772, 287771, 570543, 1999400, 6568743, 21705629, 28274372, 49980001, 2827154428, 2877134429, 5704288857, 19990001000, 65674291857, 217012876571, 282687168428, 499700044999, 28265889688372, 28765589733371 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,9998,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^15 -28*x^14 +29*x^13 -57*x^12 +200*x^11 -657*x^10 +2171*x^9 -2828*x^8 -4999*x^7 -2828*x^6 -2171*x^5 -657*x^4 -200*x^3 -57*x^2 -29*x -28) / ((x^8 -100*x^4 +1)*(x^8 +100*x^4 +1)). - Colin Barker, Dec 18 2013
MATHEMATICA
Numerator[Convergents[Sqrt[816], 30]] (* Vincenzo Librandi, Nov 28 2013 *)
CROSSREFS
Sequence in context: A042582 A042584 A042576 * A042572 A042570 A042568
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 18 2013
STATUS
approved

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Last modified March 28 14:21 EDT 2024. Contains 371254 sequences. (Running on oeis4.)