A010726 Period 2: repeat (6,10).

6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

From Klaus Brockhaus, Dec 10 2009: (Start)

Interleaving of A010722 and A010692.

Also continued fraction expansion of 3 + 4*sqrt(15)/5.

Binomial transform of 6 followed by A122803 without initial terms 1,-2.

Inverse binomial transform of A171494. (End)

Links

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

Crossrefs

Equals 2*A010703. Cf. A010722 (all 6's sequence), A010692 (all 10's sequence), A122803 (powers of -2), A171494. - Klaus Brockhaus, Dec 10 2009

Programs

Magma

&cat[ [6, 10]: n in [1..42] ]; // Klaus Brockhaus, Dec 10 2009

Mathematica

LinearRecurrence[{0,1},{6,10},90] (* or *) PadRight[{},90,{6,10}] (* Harvey P. Dale, Mar 07 2015 *)

PARI

a(n)=6+n%2*4 \\ Charles R Greathouse IV, Dec 21 2011

Formula

a(n) = -2*(-1)^n + 8. - Paolo P. Lava, Oct 27 2006

From Klaus Brockhaus, Dec 10 2009: (Start)

a(n) = a(n-2) for n > 1; a(0) = 6, a(1) = 10.

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