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Search: id:A028356
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| A028356 |
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Simple periodic sequence underlying clock sequence A028354. |
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+0
8
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| 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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Zdenek Horsky, "Prazsky Orloj" ["The Astronomical Clock of Prague", in Czech], Panorama, Prague, 1988, pp. 76-78.
M. Krizek, A. Solcova and L. Somer, Construction of Sindel sequences, Comment. Math. Univ. Carolin., 48 (2007), 373-388.
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LINKS
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N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).
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FORMULA
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Sum of any six successive terms is 15.
Coefficients in expansion of (1 + 2x + 3x^2 + 4x^3 + 3x^4 + 2x^5)/(1 - x^6).
a(n)=(1/3)*{[cos(2*n*Pi/3) + 1/2]*[1 + (-1)^n] + 2*[cos(2*(n + 5)*Pi/3) + 1/2]*[1 + (-1)^(n + 5)] + 3*[cos(2*(n + 4)*Pi/3) + 1/2]*[1 + (-1)^(n + 4)] + [4*cos(2*(n + 3)*Pi/3) + 1/2]*[1 + (-1)^(n + 3)] + [3*cos(2*(n + 2)*Pi/3) + 1/2]*[1 + (-1)^(n + 2)] + [2*cos(2*(n + 1)*Pi/3) + 1/2]*[1 + (-1)^(n + 1)]} - Paolo P. Lava (ppl(AT)spl.at), Oct 09 2006
a(n)=1/3*[n mod 6+(n+1) mod 6+(n+2) mod 6] - Paolo P. Lava (ppl(AT)spl.at), Oct 09 2006
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MATHEMATICA
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CoefficientList[ Series[(1 + 2x + 3x^2 + 4x^3 + 3x^4 + 2x^5)/(1 - x^6), {x, 0, 85}], x]
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CROSSREFS
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Cf. A000034, A068073, A028354.
Sequence in context: A008287 A017859 A171456 this_sequence A073791 A030340 A122453
Adjacent sequences: A028353 A028354 A028355 this_sequence A028357 A028358 A028359
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Additional comments from Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 01 2002
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