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A334857
Lexicographically earliest sequence of integers > 1 such that for any distinct m and n, a(m)^a(m+1) <> a(n)^a(n+1).
2
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
OFFSET
1,1
COMMENTS
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.
LINKS
EXAMPLE
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
PROG
(PARI) See Links section.
CROSSREFS
Sequence in context: A205000 A355270 A066241 * A331614 A343541 A060025
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 13 2020
STATUS
approved