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BP926 Numbers of dots in ascending order from left to right vs. numbers of dots neither in ascending nor descending order from left to right.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP921 BP922 BP923 BP924 BP925  *  BP927 BP928 BP929 BP930 BP931

KEYWORD

nice, math, sequence, traditional, left-listable, right-listable

CONCEPT number (info | search),
dot (info | search)

WORLD

dot_clusters_sequence_horizontal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP931 Some number labels its own position in the sequence from left to right vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Right examples are called "derangements".

CROSSREFS

Adjacent-numbered pages:
BP926 BP927 BP928 BP929 BP930  *  BP932 BP933 BP934 BP935 BP936

KEYWORD

handed, leftright, sequence, traditional, left-listable, right-listable

CONCEPT number (info | search),
dot (info | search),
self-reference (info | search)

WORLD

dot_clusters_sequence_horizontal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP956 Nested pairs of brackets vs. other arrangement of brackets (some open brackets are not closed or there are extra closing brackets).
(edit; present; nest [left/right]; search; history)
COMMENTS

Examples on the left are also known as "Dyck words".

REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP951 BP952 BP953 BP954 BP955  *  BP957 BP958 BP959 BP960 BP961

KEYWORD

easy, nice, precise, allsorted, unwordable, notso, sequence, traditional, inductivedefinition, preciseworld, left-listable, right-listable

CONCEPT recursion (info | search)

AUTHOR

Aaron David Fairbanks

BP986 Palindromes vs. not palindromes.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are sequences of graphic symbols. In this Problem, a "palindrome" is taken to be an ordered sequence which is the same read left-to-right as it is read right-to-left. A more formal solution to this Problem could be: "Sequences which are invariant under a permutation which swaps first and last entries, second and second last entries, third and third last entries, ... and so on vs. sequences which are not invariant under the aforementioned permutamation."

CROSSREFS

Adjacent-numbered pages:
BP981 BP982 BP983 BP984 BP985  *  BP987 BP988 BP989 BP990 BP991

KEYWORD

nice, precise, allsorted, notso, sequence, traditional

CONCEPT element_wise_symmetry (info | search),
identical (info | search),
sequence (info | search),
same_shape (info | search),
same (info | search),
symmetry (info | search)

AUTHOR

Jago Collins

BP1148 Number of dots in the Nth box (from the left) is how many times the number (N - 1) appears in the whole diagram vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted examples are sometimes called self-descriptive sequences.

CROSSREFS

See BP1147 for a similar idea.

BP1149 was inspired by this.

Adjacent-numbered pages:
BP1143 BP1144 BP1145 BP1146 BP1147  *  BP1149 BP1150 BP1151 BP1152 BP1153

KEYWORD

nice, precise, unwordable, notso, handed, leftright, left-narrow, sequence, preciseworld, left-listable, right-listable

CONCEPT self-reference (info | search)

AUTHOR

Leo Crabbe

BP1149 Number in the Nth box (from the left) is how many numbers appear N times vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Inspired by BP1148.

Adjacent-numbered pages:
BP1144 BP1145 BP1146 BP1147 BP1148  *  BP1150 BP1151 BP1152 BP1153 BP1154

KEYWORD

nice, precise, unwordable, notso, handed, leftright, left-narrow, sequence, preciseworld, left-listable, right-listable

CONCEPT self-reference (info | search)

AUTHOR

Aaron David Fairbanks

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