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.

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, 35, 37, 38, 39, 41, 43, 45, 46, 47, 49, 50, 51, 53, 54, 55, 57, 58, 59, 61, 62, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 86, 87, 89, 91, 93, 94, 95, 97, 98, 99, 101, 102

Offset: 1

Author

Charles T. Le (charlestle(AT)yahoo.com), Mar 22 2004

Keywords

• nonn
• easy

Comments

The asymptotic density of this sequence is Product_{k>=1} (1 - 1/4^k) = 0.688537... (A100221). - Amiram Eldar, Mar 21 2021

References

• C. Dumitrescu & V. Seleacu, editors, Some Notions and Questions in Number Theory, Vol. I, Erhus Publ., Glendale, 1994.
• Florentin Smarandache, Properties of Numbers, 1972.

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• C. Dumitrescu & V. Seleacu, editors, Some Notions and Questions in Number Theory, Vol. I, item 31.

Crossrefs

Cf. A007950, A007951, A100221.

Programs

MATLAB

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))
% David Wasserman, Apr 28 2004

Extensions

Edited by David Wasserman, Apr 28 2004