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A045650 Numbers that cannot be expressed as k + floor(log(k)) where k is an integer. 1

%I #20 Oct 31 2022 15:53:50

%S 3,9,23,58,153,409,1103,2988,8112,22036,59885,162766,442426,1202618,

%T 3269032,8886126,24154969,65659987,178482319,485165215,1318815755,

%U 3584912868,9744803469,26489122153,72004899362,195729609454

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

%C Complement of A212445. - _Michel Marcus_, Jun 30 2015

%F Conjecture: lim n->infinity a(n) = e^n. - _Ron R. King_, Nov 10 2006

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

%o (PARI) a(n)=floor(exp(n))+n \\ _Charles R Greathouse IV_, Jul 02 2015

%Y Cf. A212445, A000149.

%K nonn,easy

%O 1,1

%A _David W. Wilson_

%E a(18) onward corrected by _Sean A. Irvine_, Mar 17 2021

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Last modified May 2 06:11 EDT 2024. Contains 372178 sequences. (Running on oeis4.)