OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,4562498,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^18 -11*x^17 +23*x^16 -34*x^15 +125*x^14 -1034*x^13 +3227*x^12 -4261*x^11 +11749*x^10 -133500*x^9 -11749*x^8 -4261*x^7 -3227*x^6 -1034*x^5 -125*x^4 -34*x^3 -23*x^2 -11*x -1) / ((x^10 -2136*x^5 -1)*(x^10 +2136*x^5 -1)). - Colin Barker, Nov 22 2013
a(n) = 4562498*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Dec 20 2013
MATHEMATICA
Denominator[Convergents[Sqrt[292], 30]] (* Vincenzo Librandi, Dec 20 2013 *)
PROG
(Magma) I:=[1, 11, 23, 34, 125, 1034, 3227, 4261, 11749, 133500, 4550749, 50191739, 104934227, 155125966, 570312125, 4717622966, 14723181023, 19440803989, 53604789001, 609093483000]; [n le 20 select I[n] else 4562498*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 20 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 22 2013
STATUS
approved