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A241110 Number of nX4 0..2 arrays with no element equal to exactly three horizontal or vertical neighbors, with new values 0..2 introduced in row major order 1

%I

%S 14,953,60340,3829419,242964166,15415566961,978087593971,

%T 62057748267728,3937442921908646,249823063157133762,

%U 15850785425018320234,1005701376869763009802,63809788115736016913149

%N Number of nX4 0..2 arrays with no element equal to exactly three horizontal or vertical neighbors, with new values 0..2 introduced in row major order

%C Column 4 of A241114

%H R. H. Hardin, <a href="/A241110/b241110.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 60*a(n-1) +225*a(n-2) -387*a(n-3) -1087*a(n-4) +35073*a(n-5) +80687*a(n-6) -962910*a(n-7) -1462448*a(n-8) +9919819*a(n-9) -5432573*a(n-10) -78281518*a(n-11) +112876482*a(n-12) +405993061*a(n-13) -606856750*a(n-14) -1205871424*a(n-15) +2092511320*a(n-16) +2607903212*a(n-17) -2370445443*a(n-18) +2625438137*a(n-19) -4322952344*a(n-20) -23251814293*a(n-21) +81148142*a(n-22) +8345223032*a(n-23) +3986585248*a(n-24) +24600616208*a(n-25) +3668273392*a(n-26) -4567140352*a(n-27) +10017487680*a(n-28) -5292830464*a(n-29) -10715690752*a(n-30) +2043761920*a(n-31) -497378816*a(n-32) -7310107648*a(n-33) -1714114560*a(n-34) +897372160*a(n-35) +209145856*a(n-36) +820805632*a(n-37) +440958976*a(n-38) +5898240*a(n-39) +16515072*a(n-40) -4718592*a(n-41) -6291456*a(n-42) for n>43

%e Some solutions for n=3

%e ..0..1..2..2....0..1..0..0....0..1..1..2....0..1..2..0....0..0..1..0

%e ..0..0..2..2....2..2..1..1....1..1..0..1....1..1..0..0....2..2..0..0

%e ..1..2..1..0....0..1..2..0....1..2..1..0....0..2..0..2....0..0..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 16 2014

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Last modified January 24 12:02 EST 2022. Contains 350536 sequences. (Running on oeis4.)