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A253503
Number of (n+2) X (1+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.
1
132, 260, 428, 636, 884, 1172, 1500, 1868, 2276, 2724, 3212, 3740, 4308, 4916, 5564, 6252, 6980, 7748, 8556, 9404, 10292, 11220, 12188, 13196, 14244, 15332, 16460, 17628, 18836, 20084, 21372, 22700, 24068, 25476, 26924, 28412, 29940, 31508, 33116
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OFFSET
1,1
LINKS
R. H. Hardin,
Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 20*n^2 + 68*n + 44.
Conjectures from
Colin Barker
, Dec 16 2018: (Start)
G.f.: 4*x*(33 - 34*x + 11*x^2) / (1 - x)^3.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>3.
(End)
EXAMPLE
Some solutions for n=4:
..0..1..1....0..1..1....1..1..1....0..0..0....0..0..0....0..1..1....0..1..0
..1..1..0....0..0..1....1..1..0....1..1..1....0..0..0....1..1..1....1..1..0
..1..1..0....0..0..1....1..1..0....0..0..0....0..0..0....1..1..1....1..1..0
..1..1..0....1..0..1....1..1..1....1..1..1....0..0..0....1..1..0....0..0..0
..1..1..0....1..0..1....1..0..1....0..0..0....0..0..0....1..1..1....1..1..1
..0..1..1....0..0..1....0..0..1....0..1..1....0..1..1....0..0..0....0..0..1
CROSSREFS
Column 1 of
A253510
.
Sequence in context:
A204649
A224548
A253510
*
A195674
A319274
A241754
Adjacent sequences:
A253500
A253501
A253502
*
A253504
A253505
A253506
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Jan 02 2015
STATUS
approved
