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 A075773 Let {b(n)} be the sequence of perfect powers (A001597); then a(n) = max { b(n)-b(n-1), b(n+1)-b(n) }. 1
 3, 4, 7, 9, 9, 5, 5, 13, 15, 17, 19, 21, 21, 4, 16, 25, 27, 27, 20, 18, 18, 33, 35, 35, 19, 39, 41, 43, 43, 28, 47, 49, 51, 53, 55, 57, 59, 61, 61 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE The perfect powers are 1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 100, 121, etc. The 7th is 27. This is 2 larger than the 6th (25) and 5 smaller than the 8th (32). So a(7)=5. CROSSREFS Cf. A001597, A053289, A075772. Sequence in context: A169893 A169899 A328040 * A324495 A087276 A138225 Adjacent sequences:  A075770 A075771 A075772 * A075774 A075775 A075776 KEYWORD nonn AUTHOR Neil Fernandez, Oct 09 2002 STATUS approved

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Last modified May 6 21:25 EDT 2021. Contains 343597 sequences. (Running on oeis4.)