A048790 Array read by antidiagonals: T(n,k) = number of rooted n-dimensional polycubes with k cells, with no symmetries removed (n >= 1, k >= 1).

1, 1, 2, 1, 4, 3, 1, 6, 18, 4, 1, 8, 45, 76, 5, 1, 10, 84, 344, 315, 6, 1, 12, 135, 936, 2670, 1296, 7, 1, 14, 198, 1980, 10810, 20886, 5320, 8, 1, 16, 273, 3604, 30475, 127632, 164514, 21800, 9, 1, 18, 360, 5936, 69405, 483702, 1531180, 1303304, 89190, 10, 1

Offset: 1

Author

Dan Hoey

Keywords

• nonn
• tabl
• nice

Examples

			Array begins:
n\k 1..2...3.....4......5.......6........7........8........9.....10......11......12.......13
1 | 1..2...3.....4......5.......6........7........8........9.....10......11......12.......13
2 | 1..4..18....76....315....1296.....5320....21800....89190.364460.1487948.6070332.24750570
3 | 1..6..45...344...2670...20886...164514..1303304.10375830
4 | 1..8..84...936..10810..127632..1531180.18589840
5 | 1.10.135..1980..30475..483702..7847525
6 | 1.12.198..3604..69405.1386048.28403620
7 | 1.14.273..5936.137340.3307878
8 | 1.16.360..9104.246020
9 | 1.18.459.13236.409185
		

References

• Dan Hoey, Bill Gosper and Richard C. Schroeppel, Discussions in Math-Fun Mailing list, circa Jul 13 1999.

Links

• R. C. Schroeppel, A few mathematical experiments

Crossrefs

Rows give A048663-A048668, A094101. Columns give A094159-A094161. Cf. A094100.

Extensions

More terms from Joshua Zucker, Aug 14 2006

Edited by N. J. A. Sloane, Sep 15 2008 at the suggestion of R. J. Mathar