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A234125 Number of (n+1)X(2+1) 0..6 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1 1

%I #4 Dec 19 2013 18:00:41

%S 469,4757,47933,484731,4909103,49779251,505273311,5132833317,

%T 52176901353,530689037697,5400110298073,54970941475239,

%U 559763882549955,5701582841549151,58087981854053195,591918422269666865

%N Number of (n+1)X(2+1) 0..6 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

%C Column 2 of A234131

%H R. H. Hardin, <a href="/A234125/b234125.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 26*a(n-1) -218*a(n-2) +474*a(n-3) +1603*a(n-4) -5034*a(n-5) -4660*a(n-6) +14440*a(n-7) +7897*a(n-8) -13910*a(n-9) -6694*a(n-10) +2654*a(n-11) +581*a(n-12) -250*a(n-13) +20*a(n-14)

%e Some solutions for n=3

%e ..3..3..2....1..0..1....4..4..4....3..3..3....4..4..4....3..2..1....1..1..2

%e ..2..2..3....1..0..1....5..5..4....4..3..2....3..4..3....3..2..2....1..2..2

%e ..2..2..2....1..1..1....5..4..4....4..3..3....4..4..4....2..2..2....2..2..1

%e ..3..2..3....1..1..0....4..4..3....4..3..4....4..3..4....1..1..1....2..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2013

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Last modified September 26 05:56 EDT 2023. Contains 365653 sequences. (Running on oeis4.)