A010713 - OEIS

A010713

Period 2: repeat (4,8).

4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4

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OFFSET

0,1

COMMENTS

From Elmo R. Oliveira, Sep 28 2025: (Start)

Decimal expansion of 16/33.

Continued fraction expansion of (4 + 3*sqrt(2))/2 = A176218. (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) = -2*(-1)^n + 6. - Paolo P. Lava, Oct 20 2006

From R. J. Mathar, Oct 20 2008: (Start)

a(n) = 4*A000034(n).

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

From Elmo R. Oliveira, Sep 28 2025: (Start)

E.g.f.: 4*cosh(x) + 8*sinh(x).

a(n) = 2*A010694(n). (End)

MATHEMATICA

Table[4 + 4 Mod[n, 2], {n, 0, 50}] (* Jinyuan Wang, Feb 26 2020 *)

LinearRecurrence[{0, 1}, {4, 8}, 100] (* or *) PadRight[{}, 100, {4, 8}] (* Harvey P. Dale, Aug 29 2023 *)

PROG

(PARI) a(n)=4+n%2*4 \\ Charles R Greathouse IV, Dec 21 2011

CROSSREFS

Cf. A000034, A010694, A176218.

Sequence in context: A019838 A155970 A348573 * A105398 A005883 A055026

Adjacent sequences: A010710 A010711 A010712 * A010714 A010715 A010716

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved