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A010726 Period 2: repeat (6,10). 5
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

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

Table of n, a(n) for n=0..65.

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

FORMULA

a(n) = -2*(-1)^n + 8 = 10*(n mod 2) + 6*((n+1) mod 2). - 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)

MATHEMATICA

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

PROG

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

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

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

Sequence in context: A074288 A156383 A247270 * A084365 A066135 A070393

Adjacent sequences:  A010723 A010724 A010725 * A010727 A010728 A010729

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 18 01:14 EDT 2019. Contains 325110 sequences. (Running on oeis4.)