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0, 1, 6, 5, 2, 9, 8, 3, 4, 7, 0, 1, 6, 5, 2, 9, 8, 3, 4, 7, 0, 1, 6, 5, 2, 9, 8, 3, 4, 7, 0, 1, 6, 5, 2, 9, 8, 3, 4, 7, 0, 1, 6, 5, 2, 9, 8, 3, 4, 7, 0, 1, 6, 5, 2, 9, 8, 3, 4, 7, 0, 1, 6, 5, 2, 9, 8, 3, 4, 7, 0, 1, 6, 5, 2, 9, 8, 3, 4, 7, 0, 1, 6, 5, 2, 9, 8, 3, 4, 7, 0, 1, 6, 5, 2, 9, 8, 3, 4, 7, 0, 1, 6, 5, 2
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OFFSET
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0,3
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COMMENTS
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The sequence is periodic with length 10 and contains all 10 digits.
The first differences 1, 5, -1, -3, 7, -1, -5, 1, 3, -7 are also periodic with period length 10.
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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) = A037481(n) mod 10. a(n)= a(n-10).
a(n)+a(n+5)= A010734(n).
O.g.f.: (7x^4-3x^3-x^2+5x+1)x/((1-x)(1+x)(x^4-x^3+x^2-x+1)). - R. J. Mathar, Jul 14 2008
a(n)=(1/5)*{4*(n mod 10)-[(n+1) mod 10]+3*[(n+3) mod 10]+[(n+4) mod 10]-3*[(n+5) mod 10]+2*[(n+6) mod 10]+[(n+7) mod 10]-2*[(n+8) mod 10]}, with n>=0 - Paolo P. Lava, Jul 14 2008
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CROSSREFS
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Sequence in context: A004554 A178959 A021609 * A158038 A153330 A225661
Adjacent sequences: A140681 A140682 A140683 * A140685 A140686 A140687
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KEYWORD
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nonn,base
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AUTHOR
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Paul Curtz, Jul 11 2008
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EXTENSIONS
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Edited by R. J. Mathar, Jul 14 2008
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STATUS
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approved
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