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A075773
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Let {b(n)} be the sequence of perfect powers (A001597); then a(n) = max { b(n)-b(n-1), b(n+1)-b(n) }.
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1
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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; internal format)
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OFFSET
| 1,1
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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.
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CROSSREFS
| Cf. A001597, A053289, A075772.
Sequence in context: A101715 A169893 A169899 * A087276 A138225 A114889
Adjacent sequences: A075770 A075771 A075772 * A075774 A075775 A075776
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KEYWORD
| nonn
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AUTHOR
| N. Fernandez (primeness(AT)borve.org), Oct 09 2002
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