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Search: id:A001441
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| A001441 |
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Number of inequivalent Costas arrays of order n under dihedral group. |
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+0
5
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| 1, 1, 1, 2, 6, 17, 30, 60, 100, 277, 555, 990, 1616, 2168, 2467, 2648, 2294, 1892, 1283, 810, 446, 259, 114, 25, 12, 8, 29
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Dihedral group of order 8 acts by rotations and refections of the square.
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REFERENCES
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James K Beard, Jon C Russo, Keith Erickson, Michael Moneleone and Mike Wright, Combinatoric collaboration on Costas arrays and radar applications, Proceedings of the IEEE 2004 Radar Conference, April26-29 2004, ISBN 0-7803-8234-X, pp. 260-265 (entries for orders 24 and 25).
James K Beard, Jon C Russo, Keith Erickson, Michael Moneleone and Mike Wright,"Costas Array Generation and Search Methodology," to appear in IEEE Transactions on Aerospace and Electronic Engineering. (Order 26)
CRC Handbook of Combinatorial Designs, C. Colbourn and J. Dinitz Eds., 1996, IV.7: Costas Arrays by Herbert Taylor (IV.7.6, page 259, Table 2.29).
CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 227 (contains errors).
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LINKS
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K. Drakakis, Results of the enumeration of Costas arrays oforder 27.
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CROSSREFS
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Cf. A008404, A001440, A001442, A008403.
Sequence in context: A105146 A024310 A064516 this_sequence A037261 A072077 A014833
Adjacent sequences: A001438 A001439 A001440 this_sequence A001442 A001443 A001444
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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a(24)-a(26) from James K Beard (jkbeard(AT)comcast.net), Dec 04 2005
a(27) (from the Drakakis link) sent by John Healy (johnjhealy(AT)gmail.com), Jul 17 2008
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