A126440 Triangular array read by rows: related to A053445 and A060351 with row sums A000142 (which counts permutations of n objects).

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.

Links

Table of n, a(n) for n=1..21.

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

Crossrefs

Cf. A000041 A000142 A053445 A059797 A060351 A091307.

Sequence in context: A115273 A194759 A209697 * A131186 A137312 A137320

Adjacent sequences: A126437 A126438 A126439 * A126441 A126442 A126443

Keyword

nonn,tabl

Author

Alford Arnold, Jan 13 2007

Status

approved