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A223964
Number of 4Xn 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing
1
256, 5864, 41006, 176893, 594286, 1718057, 4500818, 10981150, 25334630, 55772240, 117841845, 239976226, 472531867, 902107834, 1673660678, 3023882381, 5330533450, 9183978785, 15489123731, 25608363453, 41559120445, 66283141375
OFFSET
1,1
COMMENTS
Row 4 of A223961
LINKS
FORMULA
Empirical: a(n) = (1/1036800)*n^12 + (1/34560)*n^11 + (4379/7257600)*n^10 + (757/80640)*n^9 + (257687/2419200)*n^8 + (82939/80640)*n^7 + (8187071/1036800)*n^6 + (1661651/34560)*n^5 + (117000427/453600)*n^4 + (10787803/20160)*n^3 - (153061829/50400)*n^2 + (3421969/840)*n + 275 for n>5
EXAMPLE
Some solutions for n=3
..0..1..1....1..2..2....0..1..1....0..0..1....0..1..2....0..0..2....0..1..2
..0..2..3....1..2..3....1..1..2....1..3..3....0..3..3....0..2..3....0..3..3
..2..3..3....1..1..3....0..2..2....1..1..3....1..2..3....0..1..2....1..1..3
..2..2..3....0..1..3....0..2..3....0..1..2....1..3..3....1..3..3....0..2..2
CROSSREFS
Sequence in context: A206110 A196152 A113173 * A195595 A204567 A077072
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 29 2013
STATUS
approved