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%I #2 Mar 31 2012 13:23:38
%S 1,0,2,0,2,4,0,3,13,8,0,4,42,58,16,0,5,118,344,221,32
%N Triangular array read by rows: related to A053445 and A060351 with row sums A000142 (which counts permutations of n objects).
%C A060351 relates permutations to numeric partitions. Diagonal 1 2 4 8 16 32 ... A000079 sums triangle A007318 and is related to hook partitions. Diagonal 2 13 58 221 ... sums 2 10 34 98 ... related to partition 2+2 3 20 85 ... related to 3+3 4 33 ... related to 4+4 5 ... related to 5+5 etc.
%e The array begins
%e 1
%e 0 2
%e 0 2 4
%e 0 3 13 8
%e 0 4 42 58 16
%e 0 5 118 344 221 32
%Y Cf. A000041 A000142 A053445 A059797 A060351 A091307.
%K nonn,tabl
%O 1,3
%A _Alford Arnold_, Jan 13 2007