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A126440
Triangular array read by rows: related to A053445 and A060351 with row sums A000142 (which counts permutations of n objects).
0
1, 0, 2, 0, 2, 4, 0, 3, 13, 8, 0, 4, 42, 58, 16, 0, 5, 118, 344, 221, 32
OFFSET
1,3
COMMENTS
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.
EXAMPLE
The array begins
1
0 2
0 2 4
0 3 13 8
0 4 42 58 16
0 5 118 344 221 32
KEYWORD
nonn,tabl
AUTHOR
Alford Arnold, Jan 13 2007
STATUS
approved