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Search: id:A033128
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| A033128 |
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Base 10 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,1. |
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+0 1
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| 1, 10, 101, 1011, 10110, 101101, 1011011, 10110110, 101101101, 1011011011, 10110110110, 101101101101, 1011011011011, 10110110110110, 101101101101101, 1011011011011011
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n)=10*a(n-1)+(1/9)*{-(n mod 3)+5*[(n+1) mod 3]+2*[(n+2) mod 3]}, with a(0)=0 [From Paolo P. Lava (ppl(AT)spl.at), Jul 30 2009]
a(n)= 10*a(n-1) +a(n-3) -10*a(n-4). G.f.: x*(1+x^2)/((x-1) * (10*x-1) * (1+x+x^2)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 05 2009]
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CROSSREFS
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Sequence in context: A123522 A056830 A096883 this_sequence A094945 A041041 A163461
Adjacent sequences: A033125 A033126 A033127 this_sequence A033129 A033130 A033131
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KEYWORD
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nonn,base
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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