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A056318

Number of primitive (aperiodic) reversible strings with n beads using exactly two different colors.
(history; published version)

#6 by N. J. A. Sloane at Tue Aug 22 20:53:08 EDT 2017

AUTHOR

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

Marks R. Nester

Discussion

Tue Aug 22

20:53

OEIS Server: https://oeis.org/edit/global/2696

#5 by N. J. A. Sloane at Fri May 19 10:39:25 EDT 2017

REFERENCES

M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia. [See A056391 for pdf file of Chap. 2]

Discussion

Fri May 19

10:39

OEIS Server: https://oeis.org/edit/global/2652

#4 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004

KEYWORD

nonn,new

nonn

AUTHOR

Marks R. Nester (nesterm(AT)qfri1.se2.dpi.qld.gov.au)

#3 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004

NAME

Primitive Number of primitive (aperiodic) reversible strings with n beads using exactly two different colors.

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

Primitive (aperiodic) reversible strings with n beads using exactly two different colourscolors.

REFERENCES

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

FORMULA

sum mobiusSum mu(d)*A056309(n/d) where d|n.

KEYWORD

nonn,new

nonn

AUTHOR

Marks R. Nester (nesterm@(AT)qfri1.se2.dpi.qld.gov.au)

#1 by N. J. A. Sloane at Sat Jul 22 03:00:00 EDT 2000

NAME

Primitive (aperiodic) reversible strings with n beads using exactly two different colours.

DATA

0, 1, 4, 7, 18, 29, 70, 126, 266, 507, 1054, 2037, 4158, 8183, 16488, 32760, 65790, 131026, 262654, 524265, 1049524, 2097119, 4196350, 8388450, 16781292, 33554367, 67116784, 134217657, 268451838

OFFSET

1,3

COMMENTS

A string and its reverse are considered to be equivalent. Identical to A045625 for n>1.

REFERENCES

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

FORMULA

sum mobius(d)*A056309(n/d) where d|n.

CROSSREFS

Cf. A045625.

KEYWORD

nonn

AUTHOR

Marks R. Nester (nesterm@qfri1.se2.dpi.qld.gov.au)

STATUS

approved