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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,291850,0,0,0,0,0,0,0,0,0,-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

Cf. A042024, A040512.

Sequence in context: A020689 A128844 A128850 * A041072 A154741 A041999

Adjacent sequences:  A042022 A042023 A042024 * A042026 A042027 A042028

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 29 2013

STATUS

approved

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Last modified March 18 12:10 EDT 2019. Contains 321283 sequences. (Running on oeis4.)