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A188862
Number of n X 5 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.
1
32, 99, 178, 259, 340, 421, 502, 583, 664, 745, 826, 907, 988, 1069, 1150, 1231, 1312, 1393, 1474, 1555, 1636, 1717, 1798, 1879, 1960, 2041, 2122, 2203, 2284, 2365, 2446, 2527, 2608, 2689, 2770, 2851, 2932, 3013, 3094, 3175, 3256, 3337, 3418, 3499, 3580
OFFSET
1,1
COMMENTS
Column 5 of A188866.
LINKS
FORMULA
Empirical: a(n) = 81*n - 65 for n>2.
Empirical g.f.: x*(32 + 35*x + 12*x^2 + 2*x^3) / (1 - x)^2. - Colin Barker, May 01 2018
EXAMPLE
Some solutions for 3 X 5:
..1..1..1..1..0....1..1..1..1..1....1..1..1..1..1....1..1..1..1..1
..1..0..0..0..0....1..1..0..1..1....0..1..1..1..1....1..1..1..1..1
..0..0..0..0..0....0..0..0..0..0....0..0..1..0..1....0..1..0..1..1
CROSSREFS
Cf. A188866.
Sequence in context: A273554 A218901 A192293 * A228686 A172517 A194645
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 12 2011
STATUS
approved