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A041294
Numerators of continued fraction convergents to sqrt(160).
2
12, 13, 25, 38, 215, 253, 468, 721, 17772, 18493, 36265, 54758, 310055, 364813, 674868, 1039681, 25627212, 26666893, 52294105, 78960998, 447099095, 526060093, 973159188, 1499219281, 36954421932, 38453641213, 75408063145, 113861704358, 644716584935
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1442,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^15 -12*x^14 +13*x^13 -25*x^12 +38*x^11 -215*x^10 +253*x^9 -468*x^8 -721*x^7 -468*x^6 -253*x^5 -215*x^4 -38*x^3 -25*x^2 -13*x -12) / ((x^4 -6*x^2 -1)*(x^4 +6*x^2 -1)*(x^8 +38*x^4 +1)). - Colin Barker, Nov 06 2013
a(n) = 1442*a(n-8) - a(n-16). - Wesley Ivan Hurt, Mar 01 2023
MATHEMATICA
Numerator[Convergents[Sqrt[160], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
CROSSREFS
Cf. A041295.
Sequence in context: A022102 A041292 A041679 * A041290 A041288 A042207
KEYWORD
nonn,frac,cofr,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 06 2013
STATUS
approved