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Search: id:A099430
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| 1, 0, 4, 6, 16, 30, 64, 126, 256, 510, 1024, 2046, 4096, 8190, 16384, 32766, 65536, 131070, 262144, 524286, 1048576, 2097150, 4194304, 8388606, 16777216, 33554430, 67108864, 134217726, 268435456, 536870910, 1073741824, 2147483646
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OFFSET
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0,3
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COMMENT
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Jacobsthal-Lucas numbers less 1.
For n >= 1, a(n) is also the number of periodic points of period n of the Period Doubling and the Thue-Morse Chain. [From Natascha Neumaerker (naneumae(AT)math.uni-bielefeld.de), Apr 06 2009]
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FORMULA
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G.f.: (1-2x+3x^2)/((1-x)(1-x-2x^2))=(1-2x+3x^2)/((1-x^2)(1-2x)) a(n)=A014551(n)-1.
zeta(z) = (1-z)/((1+z)(1-2z)) [From Natascha Neumaerker (naneumae(AT)math.uni-bielefeld.de), Apr 06 2009]
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CROSSREFS
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Sequence in context: A007179 A112576 A081487 this_sequence A113883 A036748 A162485
Adjacent sequences: A099427 A099428 A099429 this_sequence A099431 A099432 A099433
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Oct 15 2004
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