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A092418 A sieve: starting with the sequence of positive integers, delete every 4th number, then delete every 16th number from the remaining sequence, then delete every 64th number, etc. Sequence gives the remaining numbers.

%I A092418 #17 Aug 03 2024 16:47:06
%S A092418 1,2,3,5,6,7,9,10,11,13,14,15,17,18,19,22,23,25,26,27,29,30,31,33,34,
%T A092418 35,37,38,39,41,43,45,46,47,49,50,51,53,54,55,57,58,59,61,62,65,66,67,
%U A092418 69,70,71,73,74,75,77,78,79,81,82,83,86,87,89,91,93,94,95,97,98,99,101,102
%N A092418 A sieve: starting with the sequence of positive integers, delete every 4th number, then delete every 16th number from the remaining sequence, then delete every 64th number, etc. Sequence gives the remaining numbers.
%C A092418 The asymptotic density of this sequence is Product_{k>=1} (1 - 1/4^k) = 0.688537... (A100221). - _Amiram Eldar_, Mar 21 2021
%D A092418 C. Dumitrescu & V. Seleacu, editors, Some Notions and Questions in Number Theory, Vol. I, Erhus Publ., Glendale, 1994.
%D A092418 Florentin Smarandache, Properties of Numbers, 1972.
%H A092418 Amiram Eldar, <a href="/A092418/b092418.txt">Table of n, a(n) for n = 1..10000</a>
%H A092418 C. Dumitrescu & V. Seleacu, editors, <a href="http://www.gallup.unm.edu/~smarandache/SNAQINT.txt">Some Notions and Questions in Number Theory, Vol. I</a>, item 31.
%o A092418 (MATLAB)
%o A092418 A = 1:200; A(4:4:end) = 0; A = A(find(A)); A(16:16:end) = 0; A = A(find(A)); A(64:64:end) = 0; A = A(find(A))
%o A092418 % _David Wasserman_, Apr 28 2004
%Y A092418 Cf. A007950, A007951, A100221.
%K A092418 nonn,easy
%O A092418 1,2
%A A092418 Charles T. Le (charlestle(AT)yahoo.com), Mar 22 2004
%E A092418 Edited by _David Wasserman_, Apr 28 2004