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A251023
Number of (n+1)X(3+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements.
1
1966, 8207, 20608, 51347, 118871, 272547, 608267, 1356939, 3017800, 6755296, 15194024, 34402203, 78257659, 178761713, 409448316, 939731942, 2159479782, 4966624315, 11428488961, 26305947749, 60561558048, 139440168208
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OFFSET
1,1
COMMENTS
Column 3 of
A251028
LINKS
R. H. Hardin,
Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 8*a(n-1) -25*a(n-2) +35*a(n-3) -7*a(n-4) -49*a(n-5) +77*a(n-6) -55*a(n-7) +20*a(n-8) -3*a(n-9) for n>14
EXAMPLE
Some solutions for n=4
..0..0..3..3....0..0..2..2....0..0..2..3....0..0..1..2....3..3..3..3
..1..0..0..0....0..0..0..0....1..0..1..0....0..0..1..1....0..0..0..0
..1..0..0..0....1..0..0..0....1..0..1..0....0..0..0..0....2..1..1..1
..2..1..1..1....1..0..0..0....1..0..1..0....0..0..0..0....2..0..0..0
..3..0..0..0....2..1..0..0....3..2..1..0....3..2..2..1....3..1..1..0
CROSSREFS
Sequence in context:
A253528
A235966
A252380
*
A193312
A202596
A239185
Adjacent sequences:
A251020
A251021
A251022
*
A251024
A251025
A251026
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Nov 29 2014
STATUS
approved