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A123768 Number of ways to build a contiguous building with n LEGO blocks of size 1x2 on top of a fixed block of the same size so that the builing is flat, i.e. with all blocks in parallel position. 0
3, 10, 39, 160, 693, 3071, 13953, 64335, 300749, 1420116, 6764691, 32453268, 156653477, 760139341, 3705381789, 18134664515, 89068494994, 438841011495 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The base block is not counted among the n and must be the only block in the bottom layer of the building

REFERENCES

M. Abrahamsen and S. Eilers, Efficient counting of LEGO buildings, in preparation

B. Durhuus and S. Eilers, On the entropy of LEGO, arXiv:math.CO/0504039

LINKS

S. Eilers, LEGO counts

CROSSREFS

Sequence in context: A151067 A007163 A050385 * A005750 A151068 A151069

Adjacent sequences:  A123765 A123766 A123767 * A123769 A123770 A123771

KEYWORD

nonn,hard

AUTHOR

Soren Eilers (eilers(AT)math.ku.dk), Oct 29 2006

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Last modified February 15 03:33 EST 2012. Contains 205694 sequences.