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A183884 T(n,k)=Number of arrangements of n+2 numbers in 0..k with each number being the sum mod (k+1) of two others.

%I A183884 #7 Jul 22 2025 09:16:44
%S A183884 4,1,11,4,31,26,1,35,171,57,4,25,446,631,120,1,89,821,2827,2059,247,4,
%T A183884 1,1566,8361,13686,6399,502,1,35,1231,20527,57625,59859,19483,1013,4,
%U A183884 31,1986,32521,183310,336617,250198,58807,2036,1,35,1761,52827,424537
%N A183884 T(n,k)=Number of arrangements of n+2 numbers in 0..k with each number being the sum mod (k+1) of two others.
%C A183884 Table starts
%C A183884 ....4......1........4.........1..........4...........1...........4............1
%C A183884 ...11.....31.......35........25.........89...........1..........35...........31
%C A183884 ...26....171......446.......821.......1566........1231........1986.........1761
%C A183884 ...57....631.....2827......8361......20527.......32521.......52827........75451
%C A183884 ..120...2059....13686.....57625.....183310......424537......885690......1598395
%C A183884 ..247...6399....59859....336617....1347565.....4079713....10540371.....23327655
%C A183884 ..502..19483...250198...1817149....8984158....33702403...104446714....275846173
%C A183884 .1013..58807..1023347...9433849...56952323...257404033...938543435...2895194179
%C A183884 .2036.176859..4140830..48036737..351661806..1885866973..7996169226..28388585391
%C A183884 .4083.531103.16663627.242284857.2141759809.13515603289.66170227587.267809160367
%H A183884 R. H. Hardin, <a href="/A183884/b183884.txt">Table of n, a(n) for n = 1..216</a>
%e A183884 Some solutions for n=3
%e A183884 ..1....1....1....2....0....1....1....0....1....1....1....2....0....0....0....0
%e A183884 ..0....0....2....2....1....0....1....1....2....2....2....2....0....2....1....2
%e A183884 ..1....2....1....1....2....2....2....1....0....2....1....1....0....2....2....0
%e A183884 ..2....1....1....2....2....2....2....2....0....1....2....0....1....0....0....1
%e A183884 ..0....0....2....0....2....2....0....0....2....2....2....2....1....1....2....1
%Y A183884 Column 1 is A000295(n+2)
%K A183884 nonn,tabl
%O A183884 1,1
%A A183884 _R. H. Hardin_ Jan 07 2011