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A253529
Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically
1
7253, 27070, 62237, 182493, 398710, 949158, 2008246, 4342893, 8951319, 18483480, 37447005, 75653443, 151756020, 303701337, 606456423, 1209715276, 2412487047, 4810079658, 9594345755, 19140473863, 38203883340, 76274256635, 152344233515
OFFSET
1,1
COMMENTS
Column 4 of A253533
LINKS
FORMULA
Empirical: a(n) = 7*a(n-1) -13*a(n-2) -19*a(n-3) +95*a(n-4) -59*a(n-5) -197*a(n-6) +313*a(n-7) +89*a(n-8) -505*a(n-9) +221*a(n-10) +343*a(n-11) -347*a(n-12) -41*a(n-13) +185*a(n-14) -61*a(n-15) -28*a(n-16) +22*a(n-17) -4*a(n-18) for n>31
EXAMPLE
Some solutions for n=4
..2..1..1..1..2....1..1..1..0..2....1..0..0..1..1....1..1..1..2..2
..1..1..0..0..1....0..1..1..0..2....1..1..0..2..0....2..1..0..2..0
..2..2..1..1..2....1..2..1..0..2....2..2..0..2..0....2..1..0..2..0
..1..1..0..0..0....1..2..1..0..2....1..2..0..2..0....2..1..0..2..0
..2..2..1..2..1....1..2..1..0..2....1..2..0..2..0....1..1..0..2..0
CROSSREFS
Sequence in context: A031763 A272160 A093224 * A297880 A084276 A152502
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 03 2015
STATUS
approved