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A183892 T(n,k)=Number of arrangements of n+3 numbers in 0..k with each number being the sum mod (k+1) of three others.

%I A183892 #7 Jul 22 2025 09:17:27
%S A183892 8,1,22,16,121,52,1,292,631,114,8,241,2574,2059,240,1,982,8681,13344,
%T A183892 6399,494,16,1,20152,63645,59518,19483,1004,1,492,32821,201154,363749,
%U A183892 250124,58807,2026,8,241,57614,542557,1466628,1905097,1024174,176859
%N A183892 T(n,k)=Number of arrangements of n+3 numbers in 0..k with each number being the sum mod (k+1) of three others.
%C A183892 Table starts
%C A183892 ....8.......1.......16..........1...........8...........1...........16
%C A183892 ...22.....121......292........241.........982...........1..........492
%C A183892 ...52.....631.....2574.......8681.......20152.......32821........57614
%C A183892 ..114....2059....13344......63645......201154......542557......1172880
%C A183892 ..240....6399....59518.....363749.....1466628.....4978219.....13388190
%C A183892 ..494...19483...250124....1905097.....9469778....38280865....122033732
%C A183892 .1004...58807..1024174....9681073....58702904...277198249...1030189438
%C A183892 .2026..176859..4143944...48678653...357576342..1964161189...8431580544
%C A183892 .4072..531103.16671934..243871365..2161032260.13808869207..68127437030
%C A183892 .8166.1593931.66886900.1220204441.13012476622.96809981737.547474985956
%H A183892 R. H. Hardin, <a href="/A183892/b183892.txt">Table of n, a(n) for n = 1..176</a>
%e A183892 Some solutions for n=3
%e A183892 ..1....2....2....1....2....1....1....0....0....2....1....2....0....0....1....1
%e A183892 ..2....0....1....1....2....2....0....2....1....2....2....0....2....0....0....2
%e A183892 ..2....0....2....0....0....1....0....0....1....0....0....1....2....1....2....2
%e A183892 ..2....2....0....1....1....1....2....1....1....2....1....2....0....1....2....1
%e A183892 ..0....2....1....2....2....0....1....2....1....0....1....1....2....2....2....1
%e A183892 ..0....2....1....1....2....2....0....0....0....2....0....2....0....1....1....2
%Y A183892 Column 1 is A005803(n+3)
%K A183892 nonn,tabl
%O A183892 1,1
%A A183892 _R. H. Hardin_ Jan 07 2011