The On-Line Encyclopedia of Integer Sequences (OEIS)

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A056316

Number of primitive (aperiodic) reversible strings with n beads using a maximum of five different colors.
(history; published version)

#10 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

#9 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

#8 by Giovanni Resta at Wed Apr 05 11:26:03 EDT 2017

STATUS

reviewed

approved

#7 by Joerg Arndt at Wed Apr 05 11:10:10 EDT 2017

STATUS

proposed

reviewed

#6 by Andrew Howroyd at Wed Apr 05 10:56:51 EDT 2017

STATUS

editing

proposed

#5 by Andrew Howroyd at Wed Apr 05 10:56:47 EDT 2017

CROSSREFS

Column 5 of A284871.

STATUS

approved

editing

#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 a maximum of five 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 a maximum of five 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)*A032122(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 a maximum of five different colours.

DATA

5, 10, 70, 310, 1620, 7790, 39370, 195300, 978050, 4882740, 24421870, 122069940, 610390620, 3051757490, 15258982680, 76293945000, 381470703120, 1907348623450, 9536748046870, 47683715818440

OFFSET

1,1

COMMENTS

A string and its reverse are considered to be equivalent.

REFERENCES

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

FORMULA

sum mobius(d)*A032122(n/d) where d|n.

CROSSREFS

Cf. A045625.

KEYWORD

nonn

AUTHOR

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

STATUS

approved