A223915 Number of nX5 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing.

86, 1600, 13347, 74040, 319156, 1147712, 3588729, 10031780, 25574524, 60357024, 133401811, 278664144, 554222764, 1055811684, 1936212233, 3432395716, 5902734700, 9877089124, 16123126195, 25732854408, 40234046052, 61731993272

Offset: 1

Author

R. H. Hardin Mar 29 2013

Keywords

• nonn

Comments

Column 5 of A223918

Examples

			Some solutions for n=3
..0..0..1..0..0....0..2..2..1..0....0..0..2..1..0....0..0..0..1..0
..0..1..2..1..0....0..2..2..1..0....0..2..2..1..0....0..1..1..2..1
..0..2..2..2..0....0..2..2..2..2....0..2..2..1..1....0..1..2..2..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (1009/907200)*n^10 + (1009/60480)*n^9 + (4919/30240)*n^8 + (293/288)*n^7 + (196597/43200)*n^6 + (35317/2880)*n^5 + (1341229/45360)*n^4 + (115123/3024)*n^3 + (38483/3150)*n^2 - (868/15)*n + 4 for n>2