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Search: id:A056373
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| A056373 |
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Number of step shifted (decimated) sequences using a maximum of four different symbols. |
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+0
7
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| 4, 16, 40, 160, 280, 2176, 2800, 17920, 44224, 263296, 419872, 4280320, 5594000, 44751616, 134391040, 539054080, 1073758360, 11453771776, 15271054960, 137575813120, 366528038400, 1759220283904, 3198580043440, 35193817661440, 56294998751872
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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See A056371 for an explanation of step shifts.
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REFERENCES
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M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.
R. C. Titsworth, (1964). Equivalence classes of periodic sequences. Illinois J. Math. 8: 266-270.
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FORMULA
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The cycle index is implicit in Titsworth.
Sequences A056372-A056375 fit a general formula, implemented in PARI/GP as follows: { a(m,n) = sum(k=1, n, if(gcd(k, n)==1, m^sumdiv(n, d, eulerphi(d)/znorder(Mod(k, d))), 0); ) / eulerphi(n) }. - Max Alekseyev (maxal(AT)cs.ucsd.edu), Nov 08 2007
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CROSSREFS
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Cf. A056412.
A row or column of A132191.
Sequence in context: A121318 A110477 A007057 this_sequence A018828 A114211 A034131
Adjacent sequences: A056370 A056371 A056372 this_sequence A056374 A056375 A056376
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KEYWORD
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nonn
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AUTHOR
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Marks R. Nester (nesterm(AT)dpi.qld.gov.au)
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EXTENSIONS
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More terms from Max Alekseyev (maxal(AT)cs.ucsd.edu), Nov 08 2007
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