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 A357987 Lexicographically earliest sequence of positive integers such that no sum of consecutive terms is a square or higher power of an integer. 1
 2, 3, 2, 5, 5, 2, 3, 2, 21, 5, 2, 5, 5, 5, 7, 6, 5, 6, 6, 7, 11, 24, 2, 13, 5, 6, 35, 7, 10, 34, 6, 15, 2, 28, 10, 2, 5, 14, 19, 2, 5, 28, 2, 3, 2, 35, 2, 18, 6, 11, 3, 3, 37, 2, 5, 26, 29, 33, 42, 13, 5, 5, 10, 11, 13, 21, 18, 5, 10, 5, 6, 7, 24, 20, 3, 15 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence is a variant of A357579 where we allow duplicates. This sequence is well defined as we have arbitrary large gaps in A001597. LINKS Table of n, a(n) for n=1..76. Rémy Sigrist, C program EXAMPLE For n = 1: - 2 is not a perfect power, - so a(1) = 2. For n = 2: - 2 + 2 is a perfect power, - neither 2 + 3 nor 3 are perfect powers, - so a(2) = 3. For n = 3: - none of 2 + 3 + 2, 3 + 2, 2 is a perfect power, - so a(3) = 2. PROG (C) See Links section. CROSSREFS Cf. A001597, A007916, A357579. Sequence in context: A075274 A331309 A178144 * A135737 A125179 A141821 Adjacent sequences: A357984 A357985 A357986 * A357988 A357989 A357990 KEYWORD nonn AUTHOR Rémy Sigrist, Oct 23 2022 STATUS approved

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Last modified April 15 02:01 EDT 2024. Contains 371667 sequences. (Running on oeis4.)