A232483 Triangle read by rows: T(n,k) = number of plateau polycubes of width n and volume k.

1, 2, 1, 2, 6, 1, 3, 16, 10, 1, 2, 35, 46, 14, 1, 4, 60, 147, 92, 18, 1, 2, 98, 378, 403, 154, 22, 1, 4, 148, 824, 1372, 867, 232, 26, 1, 3, 198, 1638, 3894, 3714, 1603, 326, 30, 1, 4, 290, 2948, 9680, 13068, 8332, 2675, 436, 34, 1, 2, 352, 5029, 21726, 39594, 35178, 16410, 4147, 562, 38, 1, 6, 480, 8100, 44836, 106740, 126540, 81152, 29388, 6083, 704, 42, 1

Offset

1,2

Links

Table of n, a(n) for n=1..78.

Jean-Marc Champarnaud, Quentin Cohen-Solal, Jean-Philippe Dubernard, Hadrien Jeanne, Enumeration of Specific Classes of Polycubes, Electronic Journal of Combinatorics, 20(4) (2013), #P26.

Example

Triangle begins:
1,
2,1,
2,6,1,
3,16,10,1,
2,35,46,14,1,
4,60,147,92,18,1,
2,98,378,403,154,22,1,
4,148,824,1372,867,232,26,1,
3,198,1638,3894,3714,1603,326,30,1,
4,290,2948,9680,13068,8332,2675,436,34,1,
2,352,5029,21726,39594,35178,16410,4147,562,38,1,
6,480,8100,44836,106740,126540,81152,29388,6083,704,42,1,
...

Crossrefs

Sequence in context: A249027 A307584 A266183 * A338870 A265894 A133644

Adjacent sequences: A232480 A232481 A232482 * A232484 A232485 A232486

Keyword

nonn,tabl

Author

N. J. A. Sloane, Nov 29 2013

Status

approved