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A137844
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Define S(1) = {1}, S(n+1) = S(n) U S(n) if a(n) is even, S(n+1) = S(n) U n U S(n) if a(n) is odd. Sequence {a(n), n >= 1} is limit as n approaches infinity of S(n). (U represents concatenation.).
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1
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1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 6, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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EXAMPLE
| S(1) = {1}.
S(2) = {1,1,1}, because a(1) = 1, which is odd.
S(3) = {1,1,1,2,1,1,1}, because a(2) = 1, which is odd.
S(4) = {1,1,1,2,1,1,1,3,1,1,1,2,1,1,1}.
S(5) = {1,1,1,2,1,1,1,3,1,1,1,2,1,1,1,1,1,1,2,1,1,1,3,1,1,1,2,1,1,1}, because a(4) = 2, which is even.
Etc.
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CROSSREFS
| Cf. A137843.
Sequence in context: A094392 A111946 A175788 * A079229 A204988 A160267
Adjacent sequences: A137841 A137842 A137843 * A137845 A137846 A137847
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KEYWORD
| easy,nonn
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AUTHOR
| Leroy Quet, Feb 13 2008
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