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A042572
Numerators of continued fraction convergents to sqrt(815).
2
28, 29, 57, 257, 314, 885, 4739, 10363, 15102, 70771, 85873, 156644, 8857937, 9014581, 17872518, 80504653, 98377171, 277258995, 1484672146, 3246603287, 4731275433, 22171705019, 26902980452, 49074685471, 2775085366828, 2824160052299, 5599245419127
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 313288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^23 -28*x^22 +29*x^21 -57*x^20 +257*x^19 -314*x^18 +885*x^17 -4739*x^16 +10363*x^15 -15102*x^14 +70771*x^13 -85873*x^12 -156644*x^11 -85873*x^10 -70771*x^9 -15102*x^8 -10363*x^7 -4739*x^6 -885*x^5 -314*x^4 -257*x^3 -57*x^2 -29*x -28) / (x^24 -313288*x^12 +1). - Colin Barker, Dec 18 2013
MATHEMATICA
Numerator[Convergents[Sqrt[815], 30]] (* Vincenzo Librandi, Nov 28 2013 *)
CROSSREFS
Sequence in context: A042584 A042576 A042574 * A042570 A042568 A162302
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 18 2013
STATUS
approved