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A304061
Number of nX4 0..1 arrays with every element unequal to 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.
2
0, 18, 69, 661, 5580, 48148, 418382, 3621421, 31403562, 272264465, 2360282214, 20463703770, 177413237112, 1538129101685, 13335209986756, 115612858210884, 1002335018541953, 8689994899339220, 75340094766222961, 653179905132321132
OFFSET
1,2
COMMENTS
Column 4 of A304065.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) +37*a(n-2) -38*a(n-3) -707*a(n-4) -616*a(n-5) +4092*a(n-6) +8653*a(n-7) -5001*a(n-8) -30067*a(n-9) -22368*a(n-10) +31730*a(n-11) +68640*a(n-12) +22165*a(n-13) -61965*a(n-14) -109903*a(n-15) -78019*a(n-16) +97476*a(n-17) +294883*a(n-18) +190465*a(n-19) -201904*a(n-20) -445993*a(n-21) -244956*a(n-22) +202931*a(n-23) +428079*a(n-24) +228808*a(n-25) -144476*a(n-26) -278161*a(n-27) -113821*a(n-28) +63344*a(n-29) +93553*a(n-30) +34356*a(n-31) -17292*a(n-32) -24767*a(n-33) -6317*a(n-34) +5347*a(n-35) +2607*a(n-36) -166*a(n-37) -70*a(n-38) -46*a(n-39) -42*a(n-40) +2*a(n-42) for n>43
EXAMPLE
Some solutions for n=5
..0..1..0..0. .0..1..1..0. .0..1..0..1. .0..1..0..1. .0..1..1..0
..1..0..1..1. .1..1..0..1. .1..0..1..0. .0..1..0..0. .0..1..1..0
..1..0..1..0. .1..0..0..1. .1..1..0..0. .1..1..1..0. .0..1..1..0
..0..0..0..1. .1..0..0..1. .1..0..1..1. .0..1..1..1. .1..1..1..1
..1..0..1..0. .1..0..1..0. .0..1..0..0. .0..1..0..0. .0..0..0..0
CROSSREFS
Cf. A304065.
Sequence in context: A063523 A045234 A158056 * A214491 A135470 A059224
KEYWORD
nonn
AUTHOR
R. H. Hardin, May 05 2018
STATUS
approved