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A041666
Numerators of continued fraction convergents to sqrt(352).
2
18, 19, 75, 394, 3621, 18499, 59118, 77617, 2853330, 2930947, 11646171, 61161802, 562102389, 2871673747, 9177123630, 12048797377, 442933829202, 454982626579, 1807881708939, 9494391171274, 87257402250405, 445781402423299, 1424601609520302, 1870383011943601
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,155234,0,0,0,0,0,0,0,-1).
FORMULA
a(n) = 155234*a(n-8) - a(n-16) for n>15. [Bruno Berselli, Nov 06 2013]
G.f.: -(x^15 -18*x^14 +19*x^13 -75*x^12 +394*x^11 -3621*x^10 +18499*x^9 -59118*x^8 -77617*x^7 -59118*x^6 -18499*x^5 -3621*x^4 -394*x^3 -75*x^2 -19*x -18) / ((x^8 -394*x^4 +1)*(x^8 +394*x^4 +1)). - Colin Barker, Dec 28 2013
MATHEMATICA
Numerator[Convergents[Sqrt[352], 30]] (* Vincenzo Librandi, Nov 06 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 155234, 0, 0, 0, 0, 0, 0, 0, -1}, {18, 19, 75, 394, 3621, 18499, 59118, 77617, 2853330, 2930947, 11646171, 61161802, 562102389, 2871673747, 9177123630, 12048797377}, 30] (* Harvey P. Dale, Apr 14 2023 *)
CROSSREFS
Sequence in context: A041660 A257314 A041668 * A041670 A041672 A041674
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 28 2013
STATUS
approved