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A223930 Number of nX5 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing 1
86, 1915, 15791, 86439, 386495, 1548633, 5773556, 20277077, 67308910, 211460339, 629882429, 1783655626, 4817110825, 12451066977, 30910052731, 73949198559, 171030335166, 383497912713, 835834876572, 1774757616717, 3678712344867 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 6 15:30 EDT 2022. Contains 355110 sequences. (Running on oeis4.)