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A147774 Number of equivalence classes of normalized Hadamard matrices of order 4n with respect to permutations of rows and columns. 0

%I #7 Feb 12 2019 08:46:26

%S 1,1,2,118,6520,43966313

%N Number of equivalence classes of normalized Hadamard matrices of order 4n with respect to permutations of rows and columns.

%C Number of equivalence classes N(k) = {1, 1, 1, 1, 2, 118, 6520, 43966313} for order k = {1, 2, 4, 8, 12, 16, 20, 24}, (see Theorem 2 at the Hadamard matrices project results link). Note that N(24) = a(6) = 43966313 is a prime.

%H <a href="http://www.chrek.ru/page.aspx?id_page=1706">Hadamard Matrices Project</a>. <a href="http://www.chrek.ru/page.aspx?id_page=1711">Results</a> (in Russian) [broken link]

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HadamardMatrix.html">Hadamard Matrix</a>

%Y Cf. A007299 = Number of Hadamard matrices of order 4n.

%K more,nonn

%O 1,3

%A _Alexander Adamchuk_, Nov 12 2008

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Last modified April 25 14:06 EDT 2024. Contains 371987 sequences. (Running on oeis4.)