A216948 Triangle read by rows: coefficients in expansion of number of r-colored set partitions of n as a polynomial in r.

1, 1, 1, 1, 3, 1, 1, 5, 7, 1, 1, 6, 19, 15, 1, 1, 10, 22, 67, 31, 1, 1, 12, 56, 67, 229, 63, 1, 1, -24, 176, 159, 225, 765, 127, 1

Offset

1,5

Links

Table of n, a(n) for n=1..36.

Eric Marberg, Crossings and nestings in colored set partitions, arXiv preprint arXiv:1203.5738, 2012.

Example

Triangle begins:
1
1 1
1 3 1
1 5 7 1
1 6 19 15 1
1 10 22 67 31 1
1 12 56 67 229 63 1
1 -24 176 159 225 765 127 1
...

Crossrefs

Sequence in context: A204027 A080842 A368211 * A183944 A145661 A119258

Adjacent sequences: A216945 A216946 A216947 * A216949 A216950 A216951

Keyword

sign,tabl,more

Author

N. J. A. Sloane, Sep 22 2012

Status

approved