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URL: https://oeis.org/A387580

⇱ A387580 - OEIS


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A387580
Numbers k that are less than distance j from e^j for some positive integer j.
0
2, 3, 6, 7, 8, 9, 18, 19, 20, 21, 22, 23, 51, 52, 53, 54, 55, 56, 57, 58, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 2973, 2974
OFFSET
1,1
COMMENTS
Positive integers k such that |e^j - k| < j with j = round(log(k)).
EXAMPLE
Seen as an irregular triangle:
2, 3; (between e^1-1 and e^1+1)
6, 7, 8, 9; (between e^2-2 and e^2+2)
18, 19, 20, 21, 22, 23, ...;
51, 52, 53, 54, 55, 56, 57, 58, ...
MATHEMATICA
Table[Range[Ceiling[Exp[j] - j], Floor[Exp[j] + j]], {j, 1, 9}] // Flatten (* Amiram Eldar, Sep 03 2025 *)
CROSSREFS
Cf. A001113, A000149, A045650 (end of ranges).
Sequence in context: A316156 A319737 A060132 * A306556 A257262 A293397
KEYWORD
nonn,easy,tabf
AUTHOR
Dwight Boddorf, Sep 02 2025
STATUS
approved