cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A213270 Costas arrays such that the corresponding permutation is an involution.

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%I A213270 #14 Jun 09 2012 04:54:55
%S A213270 1,2,2,2,4,10,20,18,20,28,36,34,50,46,62,40,38,20,12,8,16,10,20,0,4,4,
%T A213270 14,0,10
%N A213270 Costas arrays such that the corresponding permutation is an involution.
%C A213270 Self-inverse permutations such that each row in the difference table consists of pairwise distinct elements (see example).
%H A213270 Scott Rickard, <a href="http://costasarrays.org/">costasarrays.org</a> (information and papers about Costas arrays).
%e A213270 The permutation (4, 7, 9, 1, 6, 5, 2, 8, 3) is an involution and corresponds to a Costas array:
%e A213270    4  7  9  1  6  5  2  8  3  (Permutation: p(1), p(2), p(3), ..., p(n) )
%e A213270    3  2 -8  5 -1 -3  6 -5     (step-1 differences: p(2)-p(1), p(3)-p(2), ... )
%e A213270    5 -6 -3  4 -4  3  1        (step-2 differences: p(3)-p(1), p(4)-p(2), ... )
%e A213270   -3 -1 -4  1  2 -2           (step-3 differences: p(4)-p(1), p(5)-p(2), ... )
%e A213270    2 -2 -7  7 -3              ( etc. )
%e A213270    1 -5 -1  2
%e A213270   -2  1 -6
%e A213270    4 -4
%e A213270   -1
%Y A213270 Cf. A008404 (Costas arrays), A213271 (Costas arrays that are derangements), A213338 (Costas arrays that are cyclic), A213339 (Costas arrays that are connected).
%K A213270 nonn,hard,more
%O A213270 1,2
%A A213270 _Joerg Arndt_, Jun 08 2012