A387580 Numbers k that are less than distance j from e^j for some positive integer j.

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)).

Links

Table of n, a(n) for n=1..58.

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

Adjacent sequences: A387577 A387578 A387579 * A387581 A387582 A387583

Keyword

nonn,easy,tabf

Author

Dwight Boddorf, Sep 02 2025

Status

approved