

A212659


Good's example of a "Standard List" of prime words over the alphabet {1,2}.


2



1, 2, 12, 112, 212, 1112, 2212, 2112, 11112, 21112, 12112, 22112, 12212, 22212, 111112, 211112, 121112, 221112, 122112, 222112, 112212, 122212, 222212, 1111112, 2111112, 1211112, 2211112, 1121112
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OFFSET

1,2


COMMENTS

This is just one possible ordering of the list, given by Good in his Table 1. There are A001037(n) words of length n in the list, and they can be arranged in A001037(n)! ways. However, changing the order would also change the individual entries.
This sequence is welldefined only in the sense that it is in the order chosen by Good, who gives the 71 words of length <= 8. The sequence must be regarded as being undefined beyond that point.
For the rules that the list must satisfy, see pages 2831 of Good.


REFERENCES

Good, I. J. The factorization of a sum of matrices and the multivariate cumulants of a set of quadratic expressions. J. Combinatorial Theory Ser. A 11 1971 2737. MR0274311 (43 #76)


LINKS

Table of n, a(n) for n=1..28.
I. J. Good, Annotated scan of page 28
I. J. Good, Annotated scan of page 29
I. J. Good, Annotated scan of page 30
I. J. Good, Annotated scan of part of page 31


CROSSREFS

Cf. A001037, A212672.
Sequence in context: A317208 A207778 A102659 * A191895 A047855 A199045
Adjacent sequences: A212656 A212657 A212658 * A212660 A212661 A212662


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, May 23 2012


STATUS

approved



