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A028356 Simple periodic sequence underlying clock sequence A028354. +0
8
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)
OFFSET

0,2

REFERENCES

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.

LINKS

N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).

FORMULA

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

MATHEMATICA

CoefficientList[ Series[(1 + 2x + 3x^2 + 4x^3 + 3x^4 + 2x^5)/(1 - x^6), {x, 0, 85}], x]

CROSSREFS

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

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Additional comments from Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 01 2002

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Last modified March 18 15:35 EDT 2010. Contains 173617 sequences.


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