login
A042465
Denominators of continued fraction convergents to sqrt(760).
2
1, 1, 2, 7, 37, 44, 257, 815, 1072, 1887, 102970, 104857, 207827, 728338, 3849517, 4577855, 26738792, 84794231, 111533023, 196327254, 10713204739, 10909531993, 21622736732, 75777742189, 400511447677, 476289189866, 2781957397007, 8822161380887, 11604118777894
OFFSET
0,3
LINKS
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
Sequence in context: A274904 A173827 A029990 * A041051 A175487 A216362
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 14 2013
STATUS
approved