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A232033
Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal, vertical or antidiagonal neighbor, with top left element zero.
1
37, 521, 6958, 94102, 1272579, 17207275, 232668433, 3146033503, 42539187117, 575194892084, 7777514958284, 105163901425917, 1421976842496639, 19227302460062857, 259982546017978714, 3515361781736396370
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OFFSET
1,1
COMMENTS
Column 3 of
A232038
LINKS
R. H. Hardin,
Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 16*a(n-1) -32*a(n-2) -23*a(n-3) +30*a(n-4) +49*a(n-5) +160*a(n-6) -163*a(n-7) -304*a(n-8) +146*a(n-9) +59*a(n-10) +316*a(n-11) -147*a(n-12) -255*a(n-13) +70*a(n-14) +122*a(n-15) -21*a(n-16) -28*a(n-17) +2*a(n-18) +5*a(n-19) -a(n-20)
EXAMPLE
Some solutions for n=4
..0..0..1..1....0..0..1..0....0..1..0..1....0..0..0..1....0..0..0..0
..1..1..1..0....1..1..0..0....0..1..0..1....1..0..0..1....1..1..0..1
..0..1..0..1....1..0..0..1....1..1..0..1....1..1..1..1....0..1..0..1
..0..1..1..0....1..1..0..1....1..0..0..1....1..1..1..1....0..1..0..1
..1..1..1..0....1..1..0..0....1..0..0..1....1..0..0..1....0..1..0..0
CROSSREFS
Sequence in context:
A142764
A256811
A123035
*
A006303
A219440
A219141
Adjacent sequences:
A232030
A232031
A232032
*
A232034
A232035
A232036
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Nov 17 2013
STATUS
approved
