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A300600
Number of nX3 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1
1, 2, 6, 18, 23, 89, 230, 552, 1555, 4206, 11450, 31045, 85225, 232290, 634516, 1734730, 4739435, 12951941, 35393508, 96729068, 264330479, 722375126, 1974121998, 5394894605, 14743271893, 40290668634, 110107068086, 300902363502
OFFSET
1,2
COMMENTS
Column 3 of A300605.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +4*a(n-2) +5*a(n-3) -3*a(n-4) -12*a(n-5) -9*a(n-6) +13*a(n-7) -6*a(n-8) -21*a(n-9) -5*a(n-10) +44*a(n-11) +23*a(n-12) +17*a(n-13) -70*a(n-14) -9*a(n-15) +82*a(n-16) -103*a(n-17) +91*a(n-18) -18*a(n-19) -82*a(n-20) +96*a(n-21) -56*a(n-22) +16*a(n-23) +21*a(n-24) -29*a(n-25) +14*a(n-26) -3*a(n-27) -2*a(n-28) +3*a(n-29) -a(n-30) for n>31
EXAMPLE
Some solutions for n=5
..0..0..0. .0..0..1. .0..1..1. .0..0..0. .0..1..1. .0..0..1. .0..1..1
..0..1..0. .0..1..1. .1..1..1. .0..1..0. .1..1..1. .0..1..1. .1..1..1
..0..0..0. .1..0..1. .1..0..0. .0..0..1. .1..0..1. .0..0..0. .1..0..1
..1..1..0. .1..1..0. .1..0..1. .1..1..1. .1..1..0. .0..1..0. .0..0..1
..1..0..0. .1..0..0. .1..1..1. .1..1..0. .1..0..0. .0..0..0. .0..1..1
CROSSREFS
Cf. A300605.
Sequence in context: A045962 A127257 A050832 * A342035 A168149 A275990
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 09 2018
STATUS
approved