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Number of nX4 n X 4 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
Empirical: a(n) = 51*a(n-1) -1155*a(n-2) +15629*a(n-3) -144180*a(n-4) +980916*a(n-5) -5175036*a(n-6) +21885648*a(n-7) -75880896*a(n-8) +219014768*a(n-9) -531595200*a(n-10) +1091740992*a(n-11) -1902278464*a(n-12) +2810785536*a(n-13) -3508065024*a(n-14) +3668507648*a(n-15) -3171179520*a(n-16) +2217664512*a(n-17) -1211863040*a(n-18) +487784448*a(n-19) -128974848*a(n-20) +16777216*a(n-21) for n>22.
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R. H. Hardin, <a href="/A280476/b280476.txt">Table of n, a(n) for n = 1..210</a>
allocated for R. H. Hardin
Number of nX4 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
6, 63, 997, 15104, 214635, 2886700, 37224679, 464804972, 5658641517, 67497024458, 791686330307, 9155901061480, 104627294693465, 1183339450854998, 13264070830389055, 147510583604457748, 1629077899911720149
1,1
Column 4 of A280480.
Empirical: a(n) = 51*a(n-1) -1155*a(n-2) +15629*a(n-3) -144180*a(n-4) +980916*a(n-5) -5175036*a(n-6) +21885648*a(n-7) -75880896*a(n-8) +219014768*a(n-9) -531595200*a(n-10) +1091740992*a(n-11) -1902278464*a(n-12) +2810785536*a(n-13) -3508065024*a(n-14) +3668507648*a(n-15) -3171179520*a(n-16) +2217664512*a(n-17) -1211863040*a(n-18) +487784448*a(n-19) -128974848*a(n-20) +16777216*a(n-21) for n>22
Some solutions for n=4
..0..0..0..1. .0..0..1..1. .0..0..0..1. .0..1..1..1. .0..1..0..0
..0..0..1..0. .0..0..0..2. .0..0..1..1. .1..1..1..0. .0..0..2..2
..2..2..0..1. .1..1..2..2. .2..0..0..2. .1..2..0..0. .0..2..2..0
..2..0..1..1. .1..2..2..2. .0..0..0..0. .2..2..2..2. .0..0..0..0
Cf. A280480.
allocated
nonn
R. H. Hardin, Jan 04 2017
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allocated for R. H. Hardin
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