A077450 Continued fraction expansion of (29+sqrt(145))/12.

3, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1

Offset

0,1

Links

Table of n, a(n) for n=0..104.

I. Jensen, A transfer matrix approach to the enumeration of plane meanders, arXiv:cond-mat/0008178 [cond-mat.stat-mech], 2000; J. Phys. A 33 (2000), no. 34, 5953-5963.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1).

Formula

From Colin Barker, Jan 10 2014: (Start)

a(n) = a(n-5) for n>5.

G.f.: (2*x^5-x^4-x^3-2*x^2-2*x-3) / ((x-1)*(x^4+x^3+x^2+x+1)). (End)

Example

3.420132881566024623344...

Mathematica

PadRight[{3}, 120, {1, 2, 2, 1, 1}] (* Harvey P. Dale, Oct 15 2015 *)

Crossrefs

Cf. A077451 (decimal expansion).

Sequence in context: A325524 A010269 A366911 * A328330 A214878 A086138

Adjacent sequences: A077447 A077448 A077449 * A077451 A077452 A077453

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane, Dec 01 2002

Extensions

Offset changed by Andrew Howroyd, Aug 07 2024

Status

approved