login
Number of nX4 0..2 arrays with no element equal to more than one of its king-move neighbors and with new values introduced in order 0 sequentially upwards.
1

%I #4 Jan 09 2017 09:34:55

%S 11,110,96,124,216,462,1005,2010,3907,7756,15749,31804,63463,126758,

%T 254453,511180,1024877,2052836,4115191,8254198,16552251,33182160,

%U 66522097,133381078,267442273,536212952,1075064777,2155474072,4321733703

%N Number of nX4 0..2 arrays with no element equal to more than one of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

%C Column 4 of A280859.

%H R. H. Hardin, <a href="/A280855/b280855.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) +2*a(n-4) +3*a(n-5) -4*a(n-6) -3*a(n-7) -4*a(n-10) +2*a(n-12) for n>16

%e Some solutions for n=4

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

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

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

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

%Y Cf. A280859.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 09 2017