A080021 log(n) is closer to an integer than is log(m) for any m with 2<=m<n.

2, 3, 7, 20, 148, 403, 1096, 1097, 2980, 2981, 8103, 59874, 162755, 442413, 1202604, 3269017, 8886110, 8886111, 24154952, 24154953, 65659969, 178482301, 3584912846, 9744803446, 26489122130, 72004899337, 195729609428

Offset

1,1

Comments

Every term is floor(e^k)+r for some integers k and r with k>=1 and -1 <= r <= 1.

References

Suggested by Leroy Quet, Jan 19 2003

Links

Table of n, a(n) for n=1..27.

Example

log(2) = 1-0.306..., log(3) = 1+0.0986..., log(7) = 2-0.0540..., log(20) = 3-0.00426...

Prog

(PARI) lista(nn) = {flmin = 1; for (i=2, nn, li = log(i); fli = abs(round(li) - li); if (fli < flmin, print1(i, ", "); flmin = fli; ); ); } \\ Michel Marcus, Aug 29 2013

Crossrefs

Cf. A080022, A080023.

Sequence in context: A222776 A222890 A011968 * A306666 A032313 A032223

Adjacent sequences: A080018 A080019 A080020 * A080022 A080023 A080024

Keyword

nonn

Author

Dean Hickerson, Jan 20 2003

Extensions

More terms from Don Reble, Jan 20 2003

Status

approved