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 X 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

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,...

n = 1; delete term at position 1+tau(1) = 1+1 =2: 2;

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

n = 2; delete term at position 2+tau(3) = 1+2 = 3: 5;

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

n = 3; delete term at position 3+tau(4) = 3+3 = 6: 8;

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

n = 4; delete term at position 4+tau(6) = 4+4 = 8: 11;

1,3,4,6,7,9,10,12,13,14,15,16,17,18,19,20,...

n = 5; delete term at position 5+tau(7) = 5+2 = 7: 10;

1,3,4,6,7,9,12,13,14,15,16,17,18,19,20,...

n = 6; delete term at position 6+tau(9) = 6+3 = 9: 14;

1,3,4,6,7,9,12,13,15,16,17,18,19,20,...

Cf. A000005 (number of divisors), A000027, A137292, A138899, A138900.

Adjacent sequences: A136107 A136108 A136109 this_sequence A136111 A136112 A136113

Sequence in context: A047516 A006855 A066499 this_sequence A032725 A089038 A137673

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 03 2008