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A042342
Numerators of continued fraction convergents to sqrt(698).
2
26, 53, 132, 185, 317, 502, 819, 2140, 5099, 267288, 539675, 1346638, 1886313, 3232951, 5119264, 8352215, 21823694, 51999603, 2725803050, 5503605703, 13733014456, 19236620159, 32969634615, 52206254774, 85175889389, 222558033552, 530291956493, 27797739771188
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 10198, 0, 0, 0, 0, 0, 0, 0, 0, 1).
FORMULA
G.f.: -(x^17 -26*x^16 +53*x^15 -132*x^14 +185*x^13 -317*x^12 +502*x^11 -819*x^10 +2140*x^9 +5099*x^8 +2140*x^7 +819*x^6 +502*x^5 +317*x^4 +185*x^3 +132*x^2 +53*x +26) / (x^18 +10198*x^9 -1). - Colin Barker, Dec 09 2013
MATHEMATICA
Numerator[Convergents[Sqrt[698], 30]] (* Vincenzo Librandi, Nov 21 2013 *)
CROSSREFS
Sequence in context: A042338 A042336 A042334 * A042340 A042344 A042346
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 09 2013
STATUS
approved