A112390 Triangle read by rows: T(n,k) is the number of ways of building a building of height k using n 2 X 4 LEGO blocks, counted up to symmetry (for 2 <= k <= n).

24, 500, 1060, 11707, 59201, 48672, 248688, 3203175, 4425804, 2238736, 7946227, 162216127, 359949655, 282010252, 102981504

Offset: 2

Author

N. J. A. Sloane, Dec 06 2005

Keywords

• nonn
• tabl
• more

Examples

			Triangle begins:
       24;
      500,      1060;
    11707,     59201,     48672;
   248688,   3203175,   4425804,   2238736;
  7946227, 162216127, 359949655, 282010252, 102981504;
		

References

• Anthony Lane, The Joy of Bricks, The New Yorker, Apr 27-May 04, 1998, pp. 96-103.

Links

• B. Durhuus and S. Eilers, On entropy of LEGO, arXiv:math/0504039 [math.CO], 2005.
• S. Eilers, A LEGO Counting problem.
• Index entry for sequences related to LEGO blocks.

Crossrefs

Cf. A112389.

Extensions

Thanks to Gerald McGarvey, Christian Schroeder and Jud McCranie, who contributed to this entry.