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A056308 Number of reversible strings with n beads using a maximum of six different colors. +0
4
6, 21, 126, 666, 3996, 23436, 140616, 840456, 5042736, 30236976, 181421856, 1088414496, 6530486976, 39182222016, 235093332096, 1410555793536, 8463334761216, 50779983373056, 304679900238336 (list; graph; listen)
OFFSET

1,1

COMMENT

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.

REFERENCES

M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.

FORMULA

(6^n+6^[(n+1)/2])/2.

CROSSREFS

Cf. A005418.

Sequence in context: A009253 A012840 A013320 this_sequence A081077 A093775 A058821

Adjacent sequences: A056305 A056306 A056307 this_sequence A056309 A056310 A056311

KEYWORD

nonn

AUTHOR

Marks R. Nester (nesterm(AT)dpi.qld.gov.au)

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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