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

1,1

Comments

Column 5 of A223933

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

Example

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

Crossrefs

Sequence in context: A224259 A223915 A224187 * A224054 A224307 A224371

Adjacent sequences: A223927 A223928 A223929 * A223931 A223932 A223933

Keyword

nonn

Author

R. H. Hardin Mar 29 2013

Status

approved