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Search: id:A141212
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| A141212 |
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a(n) = 1, if n == {1,3,4} mod 6; otherwise 0. |
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+0
1
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| 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1
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OFFSET
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1,1
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FORMULA
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a(n) = 1 if n == {1,3,4} mod 6; otherwise 0; where A029739(n) = {1,3,4} mod 6: 1, 3, 4, 7, 9, 10, 13,... Begin with the sequence S: (1,0,1,0,1,0,...) and create a hole every 3n-th place: 1,0_1,0_1,0_1,0_,... Then insert terms of the sequence S in the holes.
O.g.f.: x(1+x^2+x^3)/((1-x)(1+x)(x^2+x+1)(x^2-x+1)). a(n)= 1/2+A049347(n-1)/2-(-1)^n/6-A087204(n)/6 = a(n-6). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 17 2008
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EXAMPLE
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a(7) = 1 since 7 == 1 mod 6.
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CROSSREFS
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Cf. A029739.
Sequence in context: A118174 A156258 A132138 this_sequence A137893 A108882 A168002
Adjacent sequences: A141209 A141210 A141211 this_sequence A141213 A141214 A141215
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 14 2008
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