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One half of the number of n X n square grids with squares of two colors modulo operations of the dihedral group D_4.
1

%I #12 Apr 27 2020 06:26:04

%S 1,3,51,4274,2105872,4295278656,35184441295872,1152921514002096128,

%T 151115727460762179076096,79228162514269052299408048128,

%U 166153499473114502703835144588886016,1393796574908163946384646767619026404245504,46768052394588893382518536034792338549485151977472

%N One half of the number of n X n square grids with squares of two colors modulo operations of the dihedral group D_4.

%C See A054252(n, k) for the number of n X n square grids with squares from two colors modulo operations of the dihedral group D_4 with k colors of one sort.

%C One half of the row sums of A054252, starting with n=1. For the row sums starting with n=0 see A054247.

%H Andrew Howroyd, <a href="/A275798/b275798.txt">Table of n, a(n) for n = 1..50</a>

%F a(n) = (1/2)*Sum_{k=0..n^2} A054252(n, k).

%F a(n) = A054247(n)/2, n >= 1.

%Y Cf. A054252, A054247.

%K nonn,easy

%O 1,2

%A _Wolfdieter Lang_, Oct 03 2016

%E Terms a(11) and beyond from _Andrew Howroyd_, Apr 26 2020