%I
%S 1,9,242,1866,6503,15973,33236,62678,110487,185231,298538,465912,
%T 707702,1050242,1527181,2181023,3064898,4244586,5800817,7831871,
%U 10456503
%N Number of nondecreasing arrangements of n+3 numbers in 0..8 with each number being the sum mod 9 of three others
%C Column 8 of A183904
%F Empirical: a(n) = (1/40320)*n^8 + (1/672)*n^7 + (37/960)*n^6 + (9/16)*n^5 + (9709/1920)*n^4 + (917/32)*n^3 + (14159/10080)*n^2  (119065/168)*n + 801 for n>5
%e All solutions for n=2
%e ..0....0....0....0....0....0....0....1....2
%e ..0....0....3....0....0....3....0....3....5
%e ..3....3....6....3....6....3....0....3....6
%e ..6....3....6....3....6....3....0....4....6
%e ..6....3....6....6....6....6....0....7....8
%K nonn
%O 1,2
%A _R. H. Hardin_ Jan 07 2011
