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 A238809 Number of nX5 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the sum of elements above it, modulo 3 1

%I

%S 6,39,254,1501,7502,31125,111564,356666,1041746,2828429,7227752,

%T 17541293,40706954,90804704,195525484,407797895,826187028,1629896763,

%U 3137605666,5904488589,10879371862,19655065895,34860900004,60769196108,104219292070

%N Number of nX5 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the sum of elements above it, modulo 3

%C Column 5 of A238812

%H R. H. Hardin, <a href="/A238809/b238809.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/4572288000)*n^15 - (977/43589145600)*n^14 + (2063/1334361600)*n^13 - (3407/47900160)*n^12 + (8955043/3592512000)*n^11 - (52157/777600)*n^10 + (81530299/57153600)*n^9 - (146333539/6096384)*n^8 + (209014719719/653184000)*n^7 - (29159596579/8709120)*n^6 + (1769086509077/65318400)*n^5 - (565086990557/3421440)*n^4 + (510122386391417/698544000)*n^3 - (166274896650011/75675600)*n^2 + (1441644437297/360360)*n - 3304835 for n>6

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 05 2014

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Last modified June 27 05:25 EDT 2022. Contains 354888 sequences. (Running on oeis4.)