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A112389 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 4. +0
2
1, 24, 1560, 119580, 10166403, 915103765, 85747377755, 8274075616387 (list; graph; listen)
OFFSET

1,2

COMMENT

a(6) is often quoted as 102981500, but this is incorrect.

REFERENCES

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

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

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

LINKS

S. Eilers, LEGO counts

CROSSREFS

Cf. A112390.

Sequence in context: A035174 A063885 A019284 this_sequence A054777 A084224 A166788

Adjacent sequences: A112386 A112387 A112388 this_sequence A112390 A112391 A112392

KEYWORD

nonn,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 06 2005

EXTENSIONS

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

a(8) from Soren Eilers (eilers(AT)math.ku.dk), Oct 29 2006

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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