A072099 - OEIS

%I #15 Jan 06 2018 21:34:40

%S 1,2,3,5,6,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,

%T 29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,

%U 54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77

%N First term = 1 and, for each n > 1, n*a(n) does not appear.

%C Does lim_{n->infinity} (a(n)-n)/sqrt(n) = 1?

%H Ivan Neretin, <a href="/A072099/b072099.txt">Table of n, a(n) for n = 1..10000</a>

%e a(2) = 2 so 2*2 = 4 is not in the sequence. a(4) = 5 so 4*5 = 20 is not in the sequence. There is no n such that n*a(n) = 3, so 3 is in the sequence.

%t Nest[Append[#, Min@Complement[Range[#[[-1]]*Length@# + 1], #, #*Range@Length@#]] &, {1}, 70] (* _Ivan Neretin_, Dec 20 2017 *)

%Y For complement see A297190.

%K easy,nonn

%O 1,2

%A _Benoit Cloitre_, Jun 18 2002

%E Name changed by _Franklin T. Adams-Watters_, Aug 21 2013