A048790 - OEIS

%I #10 Sep 21 2017 09:03:15

%S 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,

%T 1296,7,1,14,198,1980,10810,20886,5320,8,1,16,273,3604,30475,127632,

%U 164514,21800,9,1,18,360,5936,69405,483702,1531180,1303304,89190,10,1

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

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

%H R. C. Schroeppel, <a href="http://www.experimentalmath.info/workshop2004/schroeppel-talk.pdf">A few mathematical experiments</a>

%e Array begins:

%e n\k 1..2...3.....4......5.......6........7........8........9.....10......11......12.......13

%e 1 | 1..2...3.....4......5.......6........7........8........9.....10......11......12.......13

%e 2 | 1..4..18....76....315....1296.....5320....21800....89190.364460.1487948.6070332.24750570

%e 3 | 1..6..45...344...2670...20886...164514..1303304.10375830

%e 4 | 1..8..84...936..10810..127632..1531180.18589840

%e 5 | 1.10.135..1980..30475..483702..7847525

%e 6 | 1.12.198..3604..69405.1386048.28403620

%e 7 | 1.14.273..5936.137340.3307878

%e 8 | 1.16.360..9104.246020

%e 9 | 1.18.459.13236.409185

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

%K nonn,tabl,nice

%O 1,3

%A _Dan Hoey_

%E More terms from _Joshua Zucker_, Aug 14 2006

%E Edited by _N. J. A. Sloane_, Sep 15 2008 at the suggestion of R. J. Mathar