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A280808 Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1

%I #4 Jan 08 2017 09:45:35

%S 0,284,6540,37644,155560,547197,1736603,5150299,14554327,39708623,

%T 105469880,274358836,702041419,1772651619,4426877398,10952897674,

%U 26883495456,65525790275,158732212994,382416259916,916790487361

%N Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 6 of A280810.

%H R. H. Hardin, <a href="/A280808/b280808.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -72*a(n-2) +220*a(n-3) -400*a(n-4) +432*a(n-5) -256*a(n-6) +70*a(n-7) -54*a(n-8) +183*a(n-9) -249*a(n-10) -51*a(n-11) +573*a(n-12) -672*a(n-13) +249*a(n-14) +135*a(n-15) -204*a(n-16) +12*a(n-17) +225*a(n-18) -57*a(n-19) -390*a(n-20) +422*a(n-21) -107*a(n-22) -63*a(n-23) +138*a(n-24) -144*a(n-25) +33*a(n-27) +78*a(n-28) -54*a(n-29) -13*a(n-30) -17*a(n-31) -12*a(n-32) +70*a(n-33) -31*a(n-34) -12*a(n-35) +3*a(n-36) -6*a(n-37) +15*a(n-38) -3*a(n-39) -3*a(n-40) -a(n-42) +a(n-43) for n>53

%e Some solutions for n=4

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

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

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

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

%Y Cf. A280810.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 08 2017

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)