A045650 Numbers that cannot be expressed as k + floor(log(k)) where k is an integer.

3, 9, 23, 58, 153, 409, 1103, 2988, 8112, 22036, 59885, 162766, 442426, 1202618, 3269032, 8886126, 24154969, 65659987, 178482319, 485165215, 1318815755, 3584912868, 9744803469, 26489122153, 72004899362, 195729609454

Offset: 1

Author

David W. Wilson

Keywords

• nonn
• easy

Comments

Complement of A212445. - Michel Marcus, Jun 30 2015

Crossrefs

Cf. A212445, A000149.

Programs

PARI

a(n)=floor(exp(n))+n \\ Charles R Greathouse IV, Jul 02 2015

Formula

Conjecture: lim n->infinity a(n) = e^n. - Ron R. King, Nov 10 2006

a(n) = floor(e^n) + n. - Nurdin N. Takenov (greanvert(AT)gmail.com), Mar 10 2007

Extensions

a(18) onward corrected by Sean A. Irvine, Mar 17 2021