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A251233 Number of (n+1) X (5+1) 0..3 arrays with every 2 X 2 subblock summing to 6 and no 2 X 2 subblock having exactly two nonzero entries. 1

%I #10 Aug 10 2015 23:46:23

%S 2930,5194,9914,20490,44966,103926,250622,626122,1610186,4240330,

%T 11386550,31076502,85989998,240797850,681516362,1947640474,5616316454,

%U 16333536118,47886799742,141482904522,421114402730,1262292036426

%N Number of (n+1) X (5+1) 0..3 arrays with every 2 X 2 subblock summing to 6 and no 2 X 2 subblock having exactly two nonzero entries.

%C Column 5 of A251236.

%H R. H. Hardin, <a href="/A251233/b251233.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -63*a(n-2) +122*a(n-3) +13*a(n-4) -371*a(n-5) +317*a(n-6) +308*a(n-7) -370*a(n-8) -144*a(n-9) +128*a(n-10) +48*a(n-11).

%e Some solutions for n=4:

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

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

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

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

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

%Y Cf. A251236.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2014

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Last modified April 16 11:08 EDT 2024. Contains 371711 sequences. (Running on oeis4.)