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A300939
Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1
3, 2, 5, 12, 19, 47, 101, 206, 411, 882, 1851, 3845, 7965, 16694, 34883, 72716, 151521, 316419, 660399, 1377674, 2873815, 5997158, 12513837, 26109233, 54474709, 113665030, 237165643, 494844028, 1032487175, 2154302515, 4494977409
OFFSET
1,1
COMMENTS
Column 3 of A300944.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +3*a(n-2) -5*a(n-3) -2*a(n-4) -3*a(n-5) -a(n-6) +22*a(n-7) +7*a(n-8) -33*a(n-9) -28*a(n-10) +11*a(n-11) +50*a(n-12) +40*a(n-13) -50*a(n-14) -82*a(n-15) +3*a(n-16) +96*a(n-17) +79*a(n-18) -49*a(n-19) -85*a(n-20) -9*a(n-21) +46*a(n-22) +55*a(n-23) +17*a(n-24) -28*a(n-25) -31*a(n-26) -11*a(n-27) +a(n-28) +5*a(n-29) +4*a(n-30) +a(n-31) for n>32
EXAMPLE
Some solutions for n=5
..0..1..0. .0..1..1. .0..0..1. .0..0..0. .0..1..0. .0..1..1. .0..1..0
..0..0..1. .1..1..1. .1..1..0. .1..0..0. .0..0..1. .0..0..0. .0..1..1
..0..0..1. .1..1..1. .0..1..1. .1..0..1. .0..1..0. .0..0..0. .1..0..0
..1..0..0. .1..1..1. .0..1..1. .0..0..1. .0..0..1. .0..0..1. .0..0..0
..0..1..1. .1..1..0. .1..0..1. .0..0..0. .0..0..0. .1..0..1. .0..0..1
CROSSREFS
Cf. A300944.
Sequence in context: A130597 A075146 A353403 * A062941 A211018 A374428
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 16 2018
STATUS
approved