A010725 Period 2: repeat (6,9).

6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6

Offset

0,1

Comments

From Elmo R. Oliveira, Oct 01 2025: (Start)

Decimal expansion of 23/33.

Continued fraction expansion of (9 + sqrt(87))/3 = A176402. (End)

Links

Table of n, a(n) for n=0..80.

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

Formula

a(n) = -(3/2)*(-1)^n + 15/2. - Paolo P. Lava, Oct 27 2006

G.f.: 3*(-2-3*x)/((x-1)*(1+x)). - R. J. Mathar, Nov 21 2011

a(n) = 6 + (2^(1-(-1)^n) - 1). - Vincenzo Librandi, Feb 27 2020

From Elmo R. Oliveira, Oct 01 2025: (Start)

E.g.f.: 6*cosh(x) + 9*sinh(x).

a(n) = 3*A010693(n). (End)

Mathematica

Table[6 + 3 Mod[n, 2], {n, 0, 50}] (* Jinyuan Wang, Feb 26 2020 *)
PadRight[{}, 100, {6, 9}] (* Harvey P. Dale, Jun 03 2025 *)

Prog

(PARI) a(n)=6+n%2*3 \\ Charles R Greathouse IV, Dec 21 2011
(Magma) &cat [[6, 9]^^50]; // Vincenzo Librandi, Feb 27 2020

Crossrefs

Cf. A010693, A176402.

Sequence in context: A159691 A118947 A023410 * A193594 A382776 A011480

Adjacent sequences: A010722 A010723 A010724 * A010726 A010727 A010728

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved