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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; internal format)
OFFSET

0,1

COMMENTS

Contribution 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 to sequences with 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 (paoloplava(AT)gmail.com), Oct 27 2006

Contribution 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)

PROG

(MAGMA) &cat[ [6, 10]: n in [1..42] ]; [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), 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. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 10 2009]

Sequence in context: A075368 A074288 A156383 * A084365 A066135 A070393

Adjacent sequences:  A010723 A010724 A010725 * A010727 A010728 A010729

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 20:13 EST 2012. Contains 205663 sequences.