|
%I #2 Mar 31 2012 13:23:37
%S 1,1,1,1,3,1,1,7,4,2,1,15,12,10,5,1,31,32,36,30,14,1,63,80,112,124,
%T 100,43,1,127,192,320,432,472,360,144,1,255,448,864,1360,1832,1924,
%U 1390,523,1,511,1024,2240,3958,6320,8280
%N A table distributing the values 1 2 5 14 43 144 523 2048 38486 182905 ... A047970 based on row sums of sub-tables counting permutations of partitions.
%C The next diagonal, 2 10 36 112 320 864 2240 ... is 1 4 12 32 80 192 448 ... plus 1 6 24 80 240 672 1792 ...
%e The table begins
%e 1
%e 1 1
%e 1 3 1
%e 1 7 4 2
%e 1 15 12 10 5
%e 1 31 32 36 30 14
%e the third diagonal is 1 4 12 32 80 192 448 ... A001787 which, in turn,
%e is the row sum of the below table
%e 1
%e 2 2
%e 3 6 3
%e 4 12 12 4
%e 5 20 30 20 5
%e which counts the permutations of
%e 3; 32, 31; 322, 321, 311; 3222, 3221, 3211, 3111; etc.
%Y Cf. A047969, A047970.
%K easy,nonn,tabl,uned
%O 1,5
%A _Alford Arnold_, Nov 03 2005
|
