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

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

Author

Dean Hickerson, Jan 20 2003

Keywords

• nonn

Comments

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

Examples

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

References

• Suggested by Leroy Quet, Jan 19 2003

Crossrefs

Cf. A080022, A080023.

Programs

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

Extensions

More terms from Don Reble, Jan 20 2003