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

1,3

References

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

Links

Table of n, a(n) for n=1..56.

R. C. Schroeppel, A few mathematical experiments

Example

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

Crossrefs

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

Sequence in context: A053123 A107661 A126570 * A027421 A131252 A345123

Adjacent sequences: A048787 A048788 A048789 * A048791 A048792 A048793

Keyword

nonn,tabl,nice

Author

Dan Hoey

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

Status

approved