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A297690
Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 4 neighboring 1s.
1
8, 60, 293, 1774, 10647, 61054, 358972, 2106480, 12300234, 72038048, 421753983, 2467894885, 14445993705, 84556016585, 494899782183, 2896730371983, 16954908294495, 99238520202415, 580854325487284, 3399802583923881
OFFSET
1,1
COMMENTS
Column 4 of A297694.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) -a(n-2) +28*a(n-3) -175*a(n-4) +87*a(n-5) -113*a(n-6) +990*a(n-7) -665*a(n-8) +109*a(n-9) -1670*a(n-10) +1463*a(n-11) -100*a(n-12) +874*a(n-13) -1129*a(n-14) +190*a(n-15) +50*a(n-16) +183*a(n-17) -97*a(n-18) -111*a(n-19) +78*a(n-20) +6*a(n-21) -3*a(n-22) -3*a(n-23)
EXAMPLE
Some solutions for n=6
..0..0..1..1. .0..0..0..0. .0..0..0..1. .0..1..0..1. .0..1..1..0
..0..1..1..0. .1..0..1..0. .0..1..0..0. .0..0..0..0. .0..1..1..0
..0..0..0..0. .0..0..0..0. .1..1..1..0. .1..0..0..0. .0..1..0..1
..0..0..0..1. .1..0..0..1. .0..0..0..0. .0..0..1..0. .0..1..1..1
..0..0..0..0. .1..0..0..0. .1..0..0..0. .0..1..0..1. .0..0..1..0
..0..1..0..1. .0..0..0..1. .1..0..1..0. .0..0..1..0. .1..0..0..0
CROSSREFS
Cf. A297694.
Sequence in context: A250315 A074423 A199906 * A268599 A250556 A054401
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 03 2018
STATUS
approved