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 A266077 Number of nX4 integer arrays with each element equal to the number of horizontal and vertical neighbors differing from itself by exactly one. 1

%I

%S 1,1,6,5,7,26,23,35,64,99,161,276,431,705,1164,1893,3099,5082,8299,

%T 13605,22310,36487,59747,97906,160357,262695,430344,704739,1154443,

%U 1891402,3098313,5075239,8313876,13619127,22310879,36549650,59873231,98081065

%N Number of nX4 integer arrays with each element equal to the number of horizontal and vertical neighbors differing from itself by exactly one.

%C Column 4 of A266081.

%H R. H. Hardin, <a href="/A266077/b266077.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-3) -a(n-4) +4*a(n-5) -3*a(n-6) -5*a(n-7) -11*a(n-8) -4*a(n-9) +2*a(n-10) +15*a(n-12) +10*a(n-13) +20*a(n-14) -11*a(n-15) -2*a(n-16) -19*a(n-17) -10*a(n-18) -2*a(n-19) +16*a(n-20) +33*a(n-21) +6*a(n-22) +12*a(n-23) -19*a(n-24) -12*a(n-25) -51*a(n-26) -20*a(n-27) -9*a(n-28) +20*a(n-29) +23*a(n-30) +5*a(n-31) -2*a(n-32) -22*a(n-33) -4*a(n-34) -9*a(n-35) -3*a(n-36) +4*a(n-37) +42*a(n-38) +30*a(n-39) +8*a(n-40) -5*a(n-41) -4*a(n-42) +4*a(n-43) -3*a(n-44) +3*a(n-45) +2*a(n-46) -4*a(n-47) -16*a(n-50) -11*a(n-51) -2*a(n-52) -2*a(n-54) -2*a(n-55) -2*a(n-57) -2*a(n-58) +3*a(n-59) +2*a(n-60) -a(n-61) +3*a(n-62) +3*a(n-63)

%e All solutions for n=4

%e ..0..0..0..0....0..0..0..0....2..3..2..0....0..2..3..2....0..0..0..0

%e ..0..0..0..0....0..2..3..2....3..4..3..0....0..3..4..3....2..3..2..0

%e ..0..0..0..0....0..3..4..3....2..3..2..0....0..2..3..2....3..4..3..0

%e ..0..0..0..0....0..2..3..2....0..0..0..0....0..0..0..0....2..3..2..0

%Y Cf. A266081.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 20 2015

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Last modified September 20 10:51 EDT 2021. Contains 347584 sequences. (Running on oeis4.)