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A281403 Number of 4Xn 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1

%I #4 Jan 21 2017 08:04:24

%S 0,36,438,1020,2146,3736,6276,10740,18472,31360,53204,90516,153772,

%T 260532,440880,745272,1257700,2118908,3564884,5989652,10050168,

%U 16842128,28191540,47137476,78733948,131381268,219031808,364842376,607222340

%N Number of 4Xn 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Row 4 of A281400.

%H R. H. Hardin, <a href="/A281403/b281403.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -6*a(n-2) +6*a(n-3) -5*a(n-4) +3*a(n-6) -2*a(n-7) +2*a(n-8) -a(n-10) for n>16

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281400.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 21 2017

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Last modified August 14 18:14 EDT 2024. Contains 375166 sequences. (Running on oeis4.)