1,2

D. X. Charles : Sieve Methods, July 2000, University of Wisconsin. http://pages.cs.wisc.edu/~cdx/Sieve.pdf

R. Eismann : Decomposition of natural numbers into weight * level + jump and application to a new classification of prime numbers, ArXiv 2008. http://arXiv.org/PS_cache/arXiv/pdf/0711/0711.0865v2.pdf

M. C. Wunderlich : A general class of sieve generated sequences, Acta Arithmetica XVI,1969, pp.41-56. http://matwbn.icm.edu.pl/ksiazki/aa/aa16/aa1614.pdf

K. Brockhaus, Table of n, a(n) for n=1..10000

Index entries for sequences generated by sieves

First few steps are:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,...

n = 1, a(1) = 1; delete terms at positions 2 to 2; this is 2;

1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,...

n = 2,a(2) = 3; delete terms at positions 5 to 7; these are 6,7,8;

1,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,...

n = 3, a(3) = 4; delete terms at positions 7 to 10; these are 11,12,13,14;

1,3,4,5,9,10,15,16,17,18,19,20,21,22,23,24,25,26,27,28,...

n = 4, a(4) = 5; delete terms at positions 9 to 13; these are 17,18,19,20,21;

1,3,4,5,9,10,15,16,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36...

n = 5 a(5) = 9; delete terms at positions 14 to 22; these are 27,28,29,30,31,32,33,34,35;

1,3,4,5,9,10,15,16,22,23,24,25,26,36,...

Cf. A000027, A139418, A139419, A139420, A136110, A136119, A137292.

Adjacent sequences: A136117 A136118 A136119 this_sequence A136121 A136122 A136123

Sequence in context: A139531 A047249 A050068 this_sequence A035236 A047600 A010384

easy,nonn

Ctibor O. Zizka (ctibor.zizka(AT)seznam.cz), Mar 16 2008

Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 20 2008