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A176355
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Periodic sequence: Repeat 6, 1.
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1
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6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6
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OFFSET
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0,1
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COMMENTS
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Interleaving of A010722 and A000012.
Also continued fraction expansion of 3+sqrt(15).
Also decimal expansion of 61/99.
a(n) = A010687(n+1).
Essentially first differences of A047335.
Binomial transform of 6 followed by A166577 without initial terms 1, 4.
Inverse binomial transform of A005009 preceded by 6.
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LINKS
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Table of n, a(n) for n=0..104.
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FORMULA
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a(n) = (7+5*(-1)^n)/2.
a(n) = a(n-2) for n > 1; a(0) = 6, a(1) = 1.
a(n) = -a(n-1)+7 for n > 0; a(0) = 6.
a(n) = 6*((n+1) mod 2)+(n mod 2).
G.f.: (6+x)/(1-x^2).
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PROG
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(MAGMA) &cat[ [6, 1]: n in [0..52] ];
[ (7+5*(-1)^n)/2: n in [0..104] ];
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CROSSREFS
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Cf. A010722 (all 6's sequence), A000012 (all 1's sequence), A092294 (decimal expansion of 3+sqrt(15), A010687 (repeat 1, 6), A047335 (congruent to 0 or 6 mod 7), A166577, A005009 (7*2^n).
Sequence in context: A023406 A138116 A010687 * A109918 A096956 A078300
Adjacent sequences: A176352 A176353 A176354 * A176356 A176357 A176358
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KEYWORD
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cofr,cons,easy,nonn,mult
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AUTHOR
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Klaus Brockhaus, Apr 15 2010
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STATUS
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approved
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