[R] Find cyclically identical binary sequences (corrected)

[Michael Kubovy]

Dear R-helpers,

I need to generate all the binary sequences of length n (here n = 8)
that start with 1 and have no fewer than two of each digit, and are
not cyclic permutations of each other. Here is what I have done:

len <- 8
df <- as.data.frame(numeric(2^(len - 1)) %o% numeric(len))
require(wle)
for (i in 1:2^(len - 1)) df[i, ] <- binary(i, dim = len)[[1]]
df <- df[which(df[, 1] == 1), ]
df <- df[which(rowSums(df) > 1), ]
df <- df[which(rowSums(df) < len - 1), ]

The following are cyclic permutations of each other:
df[which(rowSums(df) == 3), ][c(2, 15), ]

I would like to retain the larger of the two (if considered a binary
number).

Can someone suggest an algorithm?

Thanks,
Michael

_____________________________
Professor Michael Kubovy
University of Virginia
Department of Psychology
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