

A296683


Number of n X 3 0..1 arrays with each 1 adjacent to 1, 2 or 3 kingmove neighboring 1s.


1



4, 43, 210, 1162, 6959, 39608, 226599, 1305725, 7497482, 43051551, 247361324, 1420935204, 8162170909, 46887717710, 269343435641, 1547219822419, 8887903925214, 51055949141455, 293287243303968, 1684768052870030
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OFFSET

1,1


COMMENTS



LINKS



FORMULA

Empirical: a(n) = 4*a(n1) + 4*a(n2) + 37*a(n3)  15*a(n4) + 21*a(n5)  79*a(n6)  7*a(n7)  92*a(n8)  49*a(n9)  19*a(n10)  20*a(n11) + 2*a(n12).
Empirical formula verified by Robert Israel, Dec 18 2017: see link.


EXAMPLE

Some solutions for n=6:
0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1
0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0
1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 0 1
1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0
0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



