A212672 -id:A212672 - cp's OEIS frontend

A212659 Good's example of a "Standard List" of prime words over the alphabet {1,2}.

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

Offset: 1

N. J. A. Sloane, May 23 2012

nonn

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 well-defined 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 28-31 of Good.

I. J. Good, The factorization of a sum of matrices and the multivariate cumulants of a set of quadratic expressions, J. Combinatorial Theory Ser. A 11 1971 27--37. MR0274311 (43 #76).
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

Cf. A001037, A212672.

cp's OEIS Frontend

A212659 Good's example of a "Standard List" of prime words over the alphabet {1,2}.

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