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Search: id:A010726
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| 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; listen)
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OFFSET
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0,1
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COMMENT
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Contribution from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), 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)
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FORMULA
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a(n)=-2*(-1)^n+8 a(n)=10*(n mod 2)+6*[(n+1) mod 2] - Paolo P. Lava (ppl(AT)spl.at), Oct 27 2006
Contribution from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), 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)
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PROGRAM
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(MAGMA) &cat[ [6, 10]: n in [1..42] ]; [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 10 2009]
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CROSSREFS
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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 this_sequence A084365 A066135 A070393
Adjacent sequences: A010723 A010724 A010725 this_sequence A010727 A010728 A010729
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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