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A334944
For any n > 0, let w be the least positive number such that the values (a(n+1-w), ..., a(n-1), e) do not appear continuously in (a(1), ..., a(n-1)) for some e in 0..w-1; a(n) is the least such e.
3
0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 3, 0, 0, 0, 3, 1, 0, 0, 2, 1, 0, 0, 3, 0, 1, 0, 3, 2, 0, 0, 2, 2, 2, 0, 0, 3, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1
OFFSET
1,7
COMMENTS
This sequence is an unbounded variant of A334941.
Will every finite sequence of nonnegative integers appear?
EXAMPLE
For n = 1:
- for w = 1: (0) did not appear,
- so a(1) = 0.
For n = 2:
- for w = 1: (0) appeared,
- for w = 2: (0, 0) did not appear,
- so a(2) = 0.
For n = 3:
- for w = 1: (0) appeared,
- for w = 2: (0, 0) appeared but (0, 1) did not,
- so a(3) = 1.
PROG
(Perl) See Links section.
CROSSREFS
See A334941 and A334956 for similar sequences.
Sequence in context: A319995 A266344 A376917 * A174875 A193510 A353337
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 17 2020
STATUS
approved