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A042025
Denominators of continued fraction convergents to sqrt(536).
2
1, 6, 7, 13, 33, 178, 389, 567, 956, 6303, 290894, 1751667, 2042561, 3794228, 9631017, 51949313, 113529643, 165478956, 279008599, 1839530550, 84897413899, 511224013944, 596121427843, 1107345441787, 2810812311417, 15161406998872, 33133626309161
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,291850,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^18 -6*x^17 +7*x^16 -13*x^15 +33*x^14 -178*x^13 +389*x^12 -567*x^11 +956*x^10 -6303*x^9 -956*x^8 -567*x^7 -389*x^6 -178*x^5 -33*x^4 -13*x^3 -7*x^2 -6*x -1) / (x^20 -291850*x^10 +1). - Colin Barker, Nov 29 2013
a(n) = 291850*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Jan 12 2014
MATHEMATICA
Denominator[Convergents[Sqrt[536], 30]] (* Vincenzo Librandi, Jan 12 2014 *)
CROSSREFS
Sequence in context: A020689 A128844 A128850 * A041072 A154741 A041999
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 29 2013
STATUS
approved