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 A136110 Limiting sequence when we start with the positive integers (A000027) and delete in step n >= 1 the term at position n + tau(a(n)), where tau(k) is the number of divisors of k. 4
 1, 3, 4, 6, 7, 9, 12, 13, 15, 17, 18, 22, 23, 24, 28, 29, 30, 32, 33, 36, 37, 38, 43, 44, 47, 49, 51, 52, 55, 56, 58, 59, 62, 65, 66, 68, 70, 72, 73, 74, 78, 79, 80, 84, 85, 86, 88, 90, 92, 94, 96, 97, 98, 104, 105, 106, 108, 109, 111, 116, 118, 119, 121, 122, 126, 129, 130 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS D. X. Charles, Sieve Methods, July 2000, University of Wisconsin. RĂ©mi Eismann, Decomposition into weight * level + jump and application to a new classification of primes, arXiv:0711.0865 [math.NT] M. C. Wunderlich, A general class of sieve generated sequences, Acta Arithmetica XVI,1969, pp.41-56. EXAMPLE 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,... CROSSREFS Cf. A000005 (number of divisors), A000027, A137292, A138899, A138900. Sequence in context: A066499 A201471 A338387 * A032725 A089038 A336175 Adjacent sequences:  A136107 A136108 A136109 * A136111 A136112 A136113 KEYWORD easy,nonn AUTHOR Ctibor O. Zizka, Mar 16 2008 EXTENSIONS Edited and extended by Klaus Brockhaus, Apr 03 2008 Moved references to the Links section R. J. Mathar, Oct 23 2009 STATUS approved

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Last modified August 9 17:13 EDT 2022. Contains 356026 sequences. (Running on oeis4.)