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BP1273 Sequence contains each possible way its distinct elements can be arranged as a subsequence vs. not so.
(edit; present; nest [left/right]; search; history)
REFERENCE

https://en.wikipedia.org/wiki/Superpermutation

CROSSREFS

Adjacent-numbered pages:
BP1268 BP1269 BP1270 BP1271 BP1272  *  BP1274 BP1275 BP1276 BP1277 BP1278

EXAMPLE

There are 6 ways of arranging the letters A, B and C: ABC, ACB, BAC, BCA, CAB, and CBA. The string "ABCABACBA" contains each of these as a substring, and would therefore be sorted left.

KEYWORD

precise, allsorted, notso, sequence, traditional, miniworlds

CONCEPT sequence (info | search),
overlap (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1275 There is a way of grouping elements into (more than one) equal-sized blocks such that no block appears twice vs. there exists no such grouping.
(edit; present; nest [left/right]; search; history)
COMMENTS

Sequences with a prime number of elements are sorted left when all their elements are unique, and sorted right otherwise.

CROSSREFS

Adjacent-numbered pages:
BP1270 BP1271 BP1272 BP1273 BP1274  *  BP1276 BP1277 BP1278 BP1279 BP1280

EXAMPLE

The sequence ABBABB would be sorted left, as it could be grouped into (AB)(BA)(BB), where each block is unique.

KEYWORD

precise, unwordable, notso, sequence, miniworlds

CONCEPT element_grouping (info | search)

AUTHOR

Leo Crabbe

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