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A219829
Number of 2Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 2Xn array
1
10, 13, 38, 87, 176, 370, 721, 1374, 2533, 4538, 7924, 13507, 22510, 36732, 58771, 92312, 142492, 216355, 323411, 476314, 691675, 991027, 1401960, 1959445, 2707367, 3700288, 5005462, 6705125, 8899084, 11707630, 15274801, 19772022, 25402150
OFFSET
1,1
COMMENTS
Row 2 of A219828
LINKS
FORMULA
Empirical: a(n) = (1/40320)*n^8 - (1/3360)*n^7 - (1/2880)*n^6 + (31/240)*n^5 - (7913/5760)*n^4 + (2933/480)*n^3 + (12179/1120)*n^2 - (33527/280)*n + 202 for n>8
EXAMPLE
Some solutions for n=3
..1..2..1....0..0..2....1..1..3....0..0..0....2..2..3....2..2..3....0..0..2
..1..1..1....0..0..2....3..1..3....0..0..0....3..2..3....2..2..3....1..0..0
CROSSREFS
Sequence in context: A101215 A102249 A195313 * A062370 A069960 A219715
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 28 2012
STATUS
approved