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A223846 Number of nX4 0..3 arrays with rows and columns unimodal.

%I A223846 #6 Jul 23 2025 04:35:16
%S A223846 130,16900,1006318,32464394,664770145,9625018705,106061178908,
%T A223846 936977517660,6894239747078,43487182160312,240482752035786,
%U A223846 1186784550921046,5302212479479600,21699479504191666,82147259258535281
%N A223846 Number of nX4 0..3 arrays with rows and columns unimodal.
%C A223846 Column 4 of A223850
%H A223846 R. H. Hardin, <a href="/A223846/b223846.txt">Table of n, a(n) for n = 1..210</a>
%F A223846 Empirical: a(n) = (1224989653/34469355651846635520000)*n^24 + (1274345773/470036667979726848000)*n^23 + (47369757551/449600291111043072000)*n^22 + (8079231569/3005349539512320000)*n^21 + (171216531859/3434685188014080000)*n^20 + (13528480451/19081584377856000)*n^19 + (53112671431/6639498657792000)*n^18 + (49232848360313/672249239101440000)*n^17 + (53770073578979/97339256340480000)*n^16 + (16874019797699/4866962817024000)*n^15 + (517532991925673/28407170727936000)*n^14 + (605791149299131/7532204359680000)*n^13 + (1386471943577633089/4639837885562880000)*n^12 + (59161759217914897/63270516621312000)*n^11 + (155971027258109341/63270516621312000)*n^10 + (433061967586889413/79088145776640000)*n^9 + (1968650426732884217/192071211171840000)*n^8 + (51663699265372819/3201186852864000)*n^7 + (9092531376581516951/425757851430912000)*n^6 + (81675296147006711/3478413818880000)*n^5 + (15743753732731141/735818307840000)*n^4 + (225625755353/14865016320)*n^3 + (646759707782897/74209612276800)*n^2 + (8586693697/2677114440)*n + 1
%e A223846 Some solutions for n=3
%e A223846 ..0..3..1..1....0..2..1..1....0..0..2..0....1..2..3..1....1..2..1..0
%e A223846 ..1..2..3..1....0..2..2..2....0..1..2..2....1..2..3..3....0..2..3..0
%e A223846 ..0..0..3..1....0..1..1..3....0..0..3..3....0..3..2..0....0..3..2..0
%K A223846 nonn
%O A223846 1,1
%A A223846 _R. H. Hardin_ Mar 27 2013