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, 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

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A334857

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

Cf. A088177, A334858.

Sequence in context: A205000 A355270 A066241 * A331614 A343541 A060025

Adjacent sequences: A334854 A334855 A334856 * A334858 A334859 A334860

Keyword

nonn

Author

Rémy Sigrist, May 13 2020

Status

approved