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A123785 Number of ways to build a contiguous building with n LEGO blocks of size 1x4 on top of a fixed block of the same size so that the builing is flat, i.e. with all blocks in parallel position, and symmetric after a rotation by 180 degrees. +0
1
1, 3, 5, 16, 36, 124, 287, 1043, 2573, 9448, 24161, 89827, 235902 (list; graph; listen)
OFFSET

1,2

COMMENT

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

Adjacent sequences: A123782 A123783 A123784 this_sequence A123786 A123787 A123788

Sequence in context: A019096 A077551 A106588 this_sequence A121646 A099101 A038120

KEYWORD

nonn

AUTHOR

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

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Last modified October 12 12:15 EDT 2008. Contains 144829 sequences.


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