A224265 - OEIS

%I #4 Apr 02 2013 06:55:37

%S 21,441,5246,41012,238366,1122522,4542734,16423026,54399996,167906334,

%T 488545330,1351296894,3575548984,9095336020,22330458551,53087335395,

%U 122539314344,275260139864,602890604743,1289688693983,2698414556120

%N Number of 5Xn 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing

%C Row 5 of A224262

%H R. H. Hardin, <a href="/A224265/b224265.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/1379196149760000)*n^20 - (1/137919614976000)*n^19 + (293/304874938368000)*n^18 + (1/4619317248000)*n^17 + (157/352235520000)*n^16 + (8317/2092278988800)*n^15 + (2780521/20922789888000)*n^14 + (383809/213497856000)*n^13 + (203282759/6897623040000)*n^12 + (34268483/229920768000)*n^11 + (1734251209/357654528000)*n^10 + (5309275061/1609445376000)*n^9 + (4327647950569/17435658240000)*n^8 + (321770123/1257984000)*n^7 + (506327783081/101896704000)*n^6 - (990071393771/62270208000)*n^5 + (554590430608603/18525386880000)*n^4 - (8854141496479/77189112000)*n^3 + (188734999923373/97772875200)*n^2 - (257473009033/29099070)*n + 13615 for n>4

%e Some solutions for n=3

%e ..0..0..0....0..0..1....0..1..2....0..0..0....0..1..0....1..0..0....0..1..0

%e ..0..0..0....0..1..1....0..1..2....0..0..0....0..1..0....1..1..0....0..1..0

%e ..0..1..2....0..1..1....0..1..2....0..0..1....0..1..0....1..1..0....1..1..1

%e ..0..2..2....0..2..1....1..1..2....1..1..1....0..1..0....1..2..0....1..2..1

%e ..2..2..2....2..2..1....1..1..2....1..2..2....1..1..2....2..2..1....2..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 02 2013