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2, 3, 4, 4, 2, 5, 2, 2, 2, 8, 2, 2, 2, 5, 3, 2, 2, 3, 2, 2, 3, 4, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 6, 2, 2, 26, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 5, 2, 3, 2, 2
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OFFSET
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1,1
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COMMENTS
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Obviously, for all n, a(n) is greater than one. According to the definition of a(n) for all n, A002386(n+1) < a(n)*A002386(n). So if n is less than 79 and not equal to 64, then A002386(n+1) < 8*A002386(n). [Updated John W. Nicholson, Nov 28 2019]
The strictly increasing terms of the sequence: 2, 3, 4, 5, 8, 26, ?, ... .
Record values are {2, 3, 4, 5, 8, 26} = {a(1), a(2), a(3), a(6), a(10), a(64)}.
A very difficult question: "What is the next term of the above sequence?" namely "What is the next term of the sequence which is greater than a(64) = 26 ?". I don't think that in this century anyone can find the answer.
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LINKS
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FORMULA
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EXAMPLE
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CROSSREFS
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KEYWORD
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nonn,more,hard
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AUTHOR
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STATUS
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approved
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