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A001441 Number of inequivalent Costas arrays of order n under dihedral group. 4

%I #19 Apr 11 2017 04:51:23

%S 1,1,1,2,6,17,30,60,100,277,555,990,1616,2168,2467,2648,2294,1892,

%T 1283,810,446,259,114,25,12,8,29,89,23

%N Number of inequivalent Costas arrays of order n under dihedral group.

%C Dihedral group of order 8 acts by rotations and reflections of the square.

%D 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).

%D 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)

%D CRC Handbook of Combinatorial Designs, C. Colbourn and J. Dinitz, Editors, 1996, IV.7: Costas Arrays by Herbert Taylor (IV.7.6, page 259, Table 2.29).

%D CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 227 (contains errors).

%H K. Drakakis, <a href="http://www.costasarrays.org/Enumeration27TalkWeb.pdf">Results of the enumeration of Costas arrays of order 27</a>. [broken link]

%Y Cf. A008404, A001440, A001442, A008403.

%K nonn,hard,more,nice

%O 1,4

%A _N. J. A. Sloane_.

%E a(24)-a(26) from James K Beard (jkbeard(AT)comcast.net), Dec 04 2005

%E a(27) (from the Drakakis link) sent by John Healy (johnjhealy(AT)gmail.com), Jul 17 2008

%E a(28) and a(29) (from http://www.costasarrays.org/), _Joerg Arndt_, Jun 08 2012.

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)