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A006840 Number of 2n-bead black-white reversible complementable necklaces with n black beads.
(Formerly M0837)
+0
7
1, 1, 2, 3, 7, 13, 35, 85, 257, 765, 2518, 8359, 28968, 101340, 361270, 1297879, 4707969, 17179435, 63068876, 232615771, 861725794, 3204236779, 11955836258, 44748176653, 167959144032, 632058070310, 2384235077576, 9013628451275 (list; graph; listen)
OFFSET

0,3

REFERENCES

J. A. Hoskins, C. E. Praeger and A. P. Street, Balanced twills with bounded float length, Congress. Numerantium, 40 (1983), 77-89.

W. D. Hoskins; Anne Penfold Street, Twills on a given number of harnesses, J. Austral. Math. Soc. Ser. A 33 (1982), no. 1, 1-15.

LINKS

Index entries for sequences related to bracelets

FORMULA

If n is odd, 1/2 (A045629 + 1/2 C(n-1, (n-1)/2) + 2^(n-2)); if n is even, 1/2 (A045629 + 1/2 C(n, n/2) + 2^(n-2)) (Christian Bower).

CROSSREFS

Sequence in context: A129859 A056953 A045611 this_sequence A123408 A033995 A013917

Adjacent sequences: A006837 A006838 A006839 this_sequence A006841 A006842 A006843

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net).

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.


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