OFFSET
0,3
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, 104042, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^18 -x^17 +2*x^16 -7*x^15 +37*x^14 -44*x^13 +257*x^12 -815*x^11 +1072*x^10 -1887*x^9 -1072*x^8 -815*x^7 -257*x^6 -44*x^5 -37*x^4 -7*x^3 -2*x^2 -x -1) / (x^20 -104042*x^10 +1). - Colin Barker, Dec 14 2013
a(n) = 104042*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Jan 23 2014
MATHEMATICA
Denominator[Convergents[Sqrt[760], 40]] (* Harvey P. Dale, Nov 03 2011 *)
PROG
(Magma) I:=[1, 1, 2, 7, 37, 44, 257, 815, 1072, 1887, 102970, 104857, 207827, 728338, 3849517, 4577855, 26738792, 84794231, 111533023, 196327254]; [n le 20 select I[n] else 104042*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Jan 24 2014
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 14 2013
STATUS
approved