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A219092
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a(n) = floor(e^(n + 1/2)).
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1
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1, 4, 12, 33, 90, 244, 665, 1808, 4914, 13359, 36315, 98715, 268337, 729416, 1982759, 5389698, 14650719, 39824784, 108254987, 294267566, 799902177, 2174359553, 5910522063, 16066464720, 43673179097, 118716009132, 322703570371
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OFFSET
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0,2
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COMMENTS
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a(n) is the number k such that {log(k} < 1/2 < {log(k+1)}, where { } = fractional part. Equivalently, the jump sequence of f(x) = log(x), in the sense that these are the positive integers k for which round(log(k)) < round(log(k+1)). For a guide to related sequences, see A219085.
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LINKS
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FORMULA
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a(n) = [e^(n + 1/2)].
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EXAMPLE
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log(1) = 0.000... ; log(2) = 0.693...
log(4) = 1.386... ; log(5) = 1.609...
log(12) = 2.484... ; log(13) = 2.564...
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MATHEMATICA
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Table[Floor[E^(n + 1/2)], {n, 0, 100}]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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