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A234179 Number of (n+1)X(3+1) 0..5 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1 1

%I #4 Dec 20 2013 09:54:06

%S 1978,39098,771710,15322566,304760768,6069161546,120976778744,

%T 2413255381166,48169872198208,961996241088124,19220286118969210,

%U 384153020051068138,7680351493843948760,153592187341555650968

%N Number of (n+1)X(3+1) 0..5 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

%C Column 3 of A234184

%H R. H. Hardin, <a href="/A234179/b234179.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 59*a(n-1) -1253*a(n-2) +10658*a(n-3) -12393*a(n-4) -283822*a(n-5) +938714*a(n-6) +2905662*a(n-7) -12071951*a(n-8) -18482610*a(n-9) +67209819*a(n-10) +84336539*a(n-11) -168519304*a(n-12) -218405166*a(n-13) +167608180*a(n-14) +253438774*a(n-15) -36105806*a(n-16) -96411410*a(n-17) +1835064*a(n-18) +14870944*a(n-19) -529572*a(n-20) -839520*a(n-21) +95040*a(n-22)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2013

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Last modified August 24 06:08 EDT 2024. Contains 375409 sequences. (Running on oeis4.)