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A301493
Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1
3, 2, 5, 15, 45, 156, 479, 1455, 4493, 14037, 43495, 134587, 417047, 1293362, 4008799, 12423540, 38505876, 119353345, 369934949, 1146596091, 3553853570, 11015153343, 34141324269, 105820474738, 327989056256, 1016597761211, 3150930739290
OFFSET
1,1
COMMENTS
Column 3 of A301498.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +5*a(n-2) +5*a(n-3) +12*a(n-4) -13*a(n-5) -66*a(n-6) -64*a(n-7) -34*a(n-8) +72*a(n-9) +226*a(n-10) +194*a(n-11) -29*a(n-12) -203*a(n-13) -99*a(n-14) +87*a(n-15) +78*a(n-16) -9*a(n-17) -24*a(n-18) -6*a(n-19) for n>23
EXAMPLE
Some solutions for n=5
..0..1..1. .0..0..0. .0..1..0. .0..1..1. .0..1..1. .0..1..1. .0..1..1
..1..1..1. .1..0..0. .1..0..1. .0..0..0. .1..1..1. .1..1..1. .1..1..1
..1..1..0. .1..0..1. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .1..1..0
..1..1..0. .0..0..1. .0..0..0. .0..0..0. .1..1..0. .0..1..0. .0..0..1
..1..1..1. .0..0..0. .0..0..1. .1..1..0. .0..1..0. .0..1..0. .1..0..1
CROSSREFS
Cf. A301498.
Sequence in context: A068553 A174909 A187943 * A214502 A077039 A374834
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 22 2018
STATUS
approved