A010703 Period 2: repeat (3,5).

3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5

Offset

0,1

Comments

From Klaus Brockhaus, Dec 10 2009: (Start)

Interleaving of A010701 and A010716.

Also continued fraction expansion of (15+sqrt(285))/10.

Also decimal expansion of 35/99.

Binomial transform of 3 followed by A084633 without initial terms 1,0.

Inverse binomial transform of A171497. (End)

Links

Table of n, a(n) for n=0..87.

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

Formula

From Klaus Brockhaus, Dec 10 2009: (Start)

a(n) = a(n-2) for n > 1; a(0) = 3, a(1) = 5.

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

a(n) = 4 - (-1)^n. - Aaron J Grech, Aug 02 2024

E.g.f.: 3*cosh(x) + 5*sinh(x). - Stefano Spezia, Aug 04 2024

Mathematica

Table[If[OddQ[n], 3, 5], {n, 1, 50}] (* Stefan Steinerberger, Apr 10 2006 *)
PadRight[{}, 120, {3, 5}] (* Harvey P. Dale, Sep 03 2012 *)

Prog

(Magma) &cat[ [3, 5]: n in [1..53] ]; // Klaus Brockhaus, Dec 10 2009
(PARI) a(n)=3+n%2*2 \\ Charles R Greathouse IV, Nov 20 2011

Crossrefs

Cf. A010701 (all 3's sequence), A010716 (all 5's sequence), A084633 (inverse binomial transform of repeated odd numbers), A171497.

Sequence in context: A236965 A259684 A214287 * A107489 A152050 A103506

Adjacent sequences: A010700 A010701 A010702 * A010704 A010705 A010706

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved