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 A224264 Number of 4Xn 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing 1

%I

%S 15,225,2017,12467,59855,240829,850875,2717731,8000608,22004896,

%T 57114321,140968221,332855049,755508149,1654943378,3509994992,

%U 7227765020,14484196632,28304567857,54032736159,100918573991,184671328897

%N Number of 4Xn 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing

%C Row 4 of A224262

%H R. H. Hardin, <a href="/A224264/b224264.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/106748928000)*n^16 + (1/13343616000)*n^15 + (71/9340531200)*n^14 + (341/3396556800)*n^13 + (70619/28740096000)*n^12 + (6403/186624000)*n^11 + (29921/65318400)*n^10 + (938611/261273600)*n^9 + (179393437/5225472000)*n^8 + (211646789/1306368000)*n^7 + (955811279/1437004800)*n^6 + (152465767/51321600)*n^5 - (11075280679/15567552000)*n^4 - (274011991/117936000)*n^3 + (8155853/123552)*n^2 - (184217/936)*n + 242 for n>2

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 02 2013

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Last modified August 10 22:36 EDT 2022. Contains 356046 sequences. (Running on oeis4.)