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A067959 Number of binary arrangements without adjacent 1's on n X n torus connected ne-sw n-s nw-se.

%I A067959 #19 Jan 14 2024 21:09:53
%S A067959 1,7,22,547,9021,812830,70046159,24082448515,10363980496342,
%T A067959 14228018243052057,29400555005986658803,166705587265151114516638,
%U A067959 1606507128309318588452521527,38505096862341023166325442747581,1696028983502674228038462924646464012
%N A067959 Number of binary arrangements without adjacent 1's on n X n torus connected ne-sw n-s nw-se.
%H A067959 Sean A. Irvine, <a href="/A067959/b067959.txt">Table of n, a(n) for n = 1..17</a>
%H A067959 V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Non-attacking chess pieces</a>, 6ed, 2013, p. 73.
%e A067959 Neighbors for n=4 (dots represent spaces):
%e A067959 .\|/\|/\|/\|/
%e A067959 . o..o..o..o
%e A067959 ./|\/|\/|\/|\
%e A067959 .\|/\|/\|/\|/
%e A067959 . o..o..o..o
%e A067959 ./|\/|\/|\/|\
%e A067959 .\|/\|/\|/\|/
%e A067959 . o..o..o..o
%e A067959 ./|\/|\/|\/|\
%e A067959 .\|/\|/\|/\|/
%e A067959 . o..o..o..o
%e A067959 ./|\/|\/|\/|\
%Y A067959 Cf. circle A000204, line A000045, arrays: ne-sw nw-se A067965, e-w ne-sw nw-se A067963, n-s nw-se A067964, e-w n-s nw-se A066864, e-w ne-sw n-s nw-se A063443, n-s A067966, e-w n-s A006506, nw-se A067962, toruses: bare A002416, ne-sw nw-se A067960, e-w ne-sw n-s nw-se A067958, n-s A067961, e-w n-s A027683, e-w ne-sw n-s A066866.
%K A067959 nonn,hard
%O A067959 1,2
%A A067959 _R. H. Hardin_, Feb 02 2002
%E A067959 a(13) from _Vaclav Kotesovec_, Aug 22 2016
%E A067959 a(14) from _Vaclav Kotesovec_, May 24 2021
%E A067959 a(15) from _Sean A. Irvine_, Jan 14 2024