A010726 - OEIS

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

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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. - 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