A216805 Govindarajan's triangle C^{box 2} arising in enumeration of multi-dimensional partitions, read by rows.

1, 0, 0, 1, 0, 0, 0, 3, 3, 0, 0, 0, 1, 16, 30, 15, 0, 0, 0, 1, 15, 135, 330, 315, 105, 0, 0, 0, 0, 18, 232, 1581, 4410, 5880, 3780, 945, 0, 0, 0, 0, 13, 355, 4000, 23709, 71078, 116550, 107100, 51975, 10395, 0, 0, 0, 0, 10, 450, 8075, 78725, 431460, 1353240, 2552130, 2962575, 2079000, 810810, 135135

Offset

0,8

Links

Table of n, a(n) for n=0..63.

Suresh Govindarajan, Notes on higher-dimensional partitions, arXiv preprint arXiv:1203.4419, 2012.

Example

Triangle begins
1,
0, 0, 1,
0, 0, 0, 3, 3,
0, 0, 0, 1, 16, 30, 15,
0, 0, 0, 1, 15, 135, 330, 315, 105,
0, 0, 0, 0, 18, 232, 1581, 4410, 5880, 3780, 945,
0, 0, 0, 0, 13, 355, 4000, 23709, 71078, 116550, 107100, 51975, 10395,
...

Crossrefs

Sequence in context: A225413 A180995 A144331 * A167259 A303650 A248625

Adjacent sequences: A216802 A216803 A216804 * A216806 A216807 A216808

Keyword

nonn,tabf

Author

N. J. A. Sloane, Sep 17 2012

Status

approved