A223930 Number of nX5 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.

86, 1915, 15791, 86439, 386495, 1548633, 5773556, 20277077, 67308910, 211460339, 629882429, 1783655626, 4817110825, 12451066977, 30910052731, 73949198559, 171030335166, 383497912713, 835834876572, 1774757616717, 3678712344867

Offset: 1

Author

R. H. Hardin Mar 29 2013

Keywords

• nonn

Comments

Column 5 of A223933

Examples

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

Links

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

Formula

Empirical: a(n) = (1/1379196149760000)*n^20 - (1/137919614976000)*n^19 + (331/304874938368000)*n^18 - (23/25406244864000)*n^17 + (22273/34871316480000)*n^16 + (2693/697426329600)*n^15 + (709123/2324754432000)*n^14 + (25469/53374464000)*n^13 + (818015239/6897623040000)*n^12 - (447002537/229920768000)*n^11 + (49691417869/1072963584000)*n^10 - (162095712841/268240896000)*n^9 + (48214267849049/6538371840000)*n^8 - (12967593924557/186810624000)*n^7 + (659685543839627/1120863744000)*n^6 - (379579885964341/93405312000)*n^5 + (71087813774265133/3087564480000)*n^4 - (15162068319635473/154378224000)*n^3 + (1768745631701119/6110804700)*n^2 - (6674903392214/14549535)*n + 130847 for n>9