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A223829 Number of nX6 0..2 arrays with rows and columns unimodal.

%I A223829 #6 Jul 23 2025 04:34:44
%S A223829 148,21904,1492552,54035194,1215505987,18986502099,222531132820,
%T A223829 2068398813560,15880238812350,103853282918692,592465318954478,
%U A223829 3004359078280776,13748441004054634,57481715090022532,221828958813980507
%N A223829 Number of nX6 0..2 arrays with rows and columns unimodal.
%C A223829 Column 6 of A223831
%H A223829 R. H. Hardin, <a href="/A223829/b223829.txt">Table of n, a(n) for n = 1..113</a>
%F A223829 Empirical: a(n) = (114400861/793412278431252480000)*n^24 + (9239627879/957482101440184320000)*n^23 + (2294154892207/6744004366665646080000)*n^22 + (31452416351/3930072474746880000)*n^21 + (24193209295183/175168944588718080000)*n^20 + (26794300136633/14597412049059840000)*n^19 + (156064264676147/8066990869217280000)*n^18 + (2841522664487/17237159976960000)*n^17 + (4371737267991827/3796230997278720000)*n^16 + (2108622084806357/316352583106560000)*n^15 + (1962362041518863/60872508702720000)*n^14 + (32606172071712193/248562743869440000)*n^13 + (18855796322583547567/41758540970065920000)*n^12 + (139121898481058809/105450861035520000)*n^11 + (3110633309061530597/949057749319680000)*n^10 + (42100438290827471/6083703521280000)*n^9 + (420754828375884341/33894919618560000)*n^8 + (904804704582195107/48017802792960000)*n^7 + (51548680903180914709/2128789257154560000)*n^6 + (354934053915002447/13646084981760000)*n^5 + (3825468263928720221/162615846032640000)*n^4 + (45410231102313599/2710264100544000)*n^3 + (858998106767/89625135600)*n^2 + (2352186769/669278610)*n + 1
%e A223829 Some solutions for n=3
%e A223829 ..0..0..1..1..1..2....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..1..2
%e A223829 ..0..0..1..1..2..2....0..0..1..1..2..1....0..0..0..0..2..0....0..0..1..1..1..1
%e A223829 ..0..0..1..1..0..0....0..1..1..1..1..0....0..0..0..1..2..0....0..1..2..2..2..1
%K A223829 nonn
%O A223829 1,1
%A A223829 _R. H. Hardin_ Mar 27 2013