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Search: id:A056308
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| A056308 |
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Number of reversible strings with n beads using a maximum of six different colors. |
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+0 4
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| 6, 21, 126, 666, 3996, 23436, 140616, 840456, 5042736, 30236976, 181421856, 1088414496, 6530486976, 39182222016, 235093332096, 1410555793536, 8463334761216, 50779983373056, 304679900238336
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OFFSET
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1,1
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COMMENT
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A string and its reverse are considered to be equivalent. Thus aabc and cbaa are considered to be identical, but abca is a different string.
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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.
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FORMULA
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(6^n+6^[(n+1)/2])/2.
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CROSSREFS
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Cf. A005418.
Sequence in context: A009253 A012840 A013320 this_sequence A081077 A093775 A058821
Adjacent sequences: A056305 A056306 A056307 this_sequence A056309 A056310 A056311
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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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