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A248842 T(n,k)=Number of length n arrays x(i), i=1..n with x(i) in 0..i and no value appearing more than k times.

%I A248842 #8 Jul 23 2025 11:47:31
%S A248842 2,2,4,2,6,8,2,6,22,16,2,6,24,96,32,2,6,24,118,482,64,2,6,24,120,686,
%T A248842 2736,128,2,6,24,120,718,4598,17302,256,2,6,24,120,720,4994,34872,
%U A248842 120576,512,2,6,24,120,720,5038,39556,295044,917762,1024,2,6,24,120,720,5040
%N A248842 T(n,k)=Number of length n arrays x(i), i=1..n with x(i) in 0..i and no value appearing more than k times.
%C A248842 Table starts
%C A248842 ....2.......2........2........2........2........2........2........2........2
%C A248842 ....4.......6........6........6........6........6........6........6........6
%C A248842 ....8......22.......24.......24.......24.......24.......24.......24.......24
%C A248842 ...16......96......118......120......120......120......120......120......120
%C A248842 ...32.....482......686......718......720......720......720......720......720
%C A248842 ...64....2736.....4598.....4994.....5038.....5040.....5040.....5040.....5040
%C A248842 ..128...17302....34872....39556....40260....40318....40320....40320....40320
%C A248842 ..256..120576...295044...351320...361636...362804...362878...362880...362880
%C A248842 ..512..917762..2753958..3456742..3606044..3626872..3628706..3628798..3628800
%C A248842 .1024.7574016.28103804.37314126.39517182.39874764.39913932.39916686.39916798
%H A248842 R. H. Hardin, <a href="/A248842/b248842.txt">Table of n, a(n) for n = 1..3388</a>
%e A248842 Some solutions for n=6 k=4
%e A248842 ..0....0....0....0....0....0....1....0....0....1....0....0....0....1....1....1
%e A248842 ..1....0....1....1....1....1....0....2....1....0....0....2....2....2....0....0
%e A248842 ..3....1....0....1....1....3....1....3....1....0....0....2....2....2....3....2
%e A248842 ..0....1....4....3....2....2....2....0....3....4....1....0....4....4....1....0
%e A248842 ..1....2....5....2....3....4....3....4....0....5....5....2....3....5....0....5
%e A248842 ..4....6....4....0....3....5....1....3....0....6....3....2....6....2....6....3
%Y A248842 Cf. A000079 (column 1), A248836 (column 2), A248837 (column 3), A248838 (column 4).
%K A248842 nonn,tabl
%O A248842 1,1
%A A248842 _R. H. Hardin_, Oct 15 2014