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Search: id:A056374
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| A056374 |
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Number of step shifted (decimated) sequences using a maximum of five different symbols. |
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+0
6
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| 5, 25, 75, 375, 825, 8125, 13175, 103125, 327125, 2445625, 4884435, 61640625, 101732425, 1017323125, 3816215625, 19104609375, 47683838325, 635787765625, 1059638680675, 11924780390625, 39736963221875, 238418603522125, 541860418146375
(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. A056413.
A row or column of A132191.
Sequence in context: A018782 A059302 A078234 this_sequence A062989 A122679 A131537
Adjacent sequences: A056371 A056372 A056373 this_sequence A056375 A056376 A056377
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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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