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A334857
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Lexicographically earliest sequence of integers > 1 such that for any distinct m and n, a(m)^a(m+1) <> a(n)^a(n+1).
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2
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2, 2, 3, 2, 4, 3, 3, 4, 4, 5, 2, 5, 3, 5, 4, 6, 2, 7, 2, 9, 3, 7, 3, 8, 5, 5, 6, 3, 9, 5, 7, 4, 7, 5, 8, 6, 4, 8, 7, 6, 5, 9, 6, 6, 7, 7, 8, 8, 9, 7, 9, 8, 10, 2, 11, 2, 13, 2, 17, 2, 19, 2, 20, 2, 22, 2, 23, 2, 25, 5, 11, 3, 11, 4, 13, 3, 13, 4, 14, 2, 29, 2
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listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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This sequence has similarities with A088177; here we raise consecutive terms, there we multiply consecutive terms.
This sequence contains large runs of consecutive terms where every other term equals 2.
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LINKS
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EXAMPLE
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The first terms, alongside a(n)^a(n+1), are:
n a(n) a(n)^a(n+1)
-- ---- -----------
1 2 4
2 2 8
3 3 9
4 2 16
5 4 64
6 3 27
7 3 81
8 4 256
9 4 1024
10 5 25
11 2 32
12 5 125
13 3 243
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PROG
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(PARI) See Links section.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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