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Search: id:A056375
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| A056375 |
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Number of step shifted (decimated) sequences using a maximum of six different symbols. |
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+0
8
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| 6, 36, 126, 756, 2016, 23976, 46956, 435456, 1683576, 15128856, 36284472, 547204896, 1088416056, 13060989936, 58782164616, 352913845536, 1057916846196, 16926689693376, 33853322280036, 457078896068256, 1828085963706576
(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. A056414.
A row or column of A132191.
Sequence in context: A061804 A083374 A061707 this_sequence A018214 A056268 A001117
Adjacent sequences: A056372 A056373 A056374 this_sequence A056376 A056377 A056378
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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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