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
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
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