STATUS
editing
approved
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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
(history; published version)
(history; published version)
NAME
Number of (n+1)X(3+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements smaller greater than the maximum of its antidiagonal elements
STATUS
approved
editing
STATUS
editing
approved
LINKS
R. H. Hardin, <a href="/A251023/b251023.txt">Table of n, a(n) for n = 1..210</a>
NAME
allocated for R. H. Hardin
Number of (n+1)X(3+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements smaller than the maximum of its antidiagonal elements
DATA
1966, 8207, 20608, 51347, 118871, 272547, 608267, 1356939, 3017800, 6755296, 15194024, 34402203, 78257659, 178761713, 409448316, 939731942, 2159479782, 4966624315, 11428488961, 26305947749, 60561558048, 139440168208
OFFSET
1,1
COMMENTS
Column 3 of A251028
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
KEYWORD
allocated
nonn
AUTHOR
R. H. Hardin, Nov 29 2014
STATUS
approved
editing
NAME
allocated for R. H. Hardin
KEYWORD
allocated
STATUS
approved