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A048859 Smarandache sieve: keep the first 2 numbers, delete the next 3 numbers; keep the next 3 numbers, delete the next 4 numbers; keep the next 4 numbers, delete the next 5 numbers; and so on. In other words, keep the next k numbers and delete the next k+1 numbers, for k = 2, 3, ... +0
3
1, 2, 6, 7, 8, 13, 14, 15, 16, 22, 23, 24, 25, 26, 33, 34, 35, 36, 37, 38, 46, 47, 48, 49, 50, 51, 52, 61, 62, 63, 64, 65, 66, 67, 68, 78, 79, 80, 81, 82, 83, 84, 85, 86, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128 (list; graph; listen)
OFFSET

0,2

REFERENCES

C. Dumitrescu & V. Seleacu, editors, Some Notions and Questions in Number Theory, Vol. I, Erhus Publ., Glendale, 1994.

M. Le, On the Smarandache n-ary Sieve, Smarandache Notions Journal, Vol. 10, No. 1-2-3, 1999, 146-147.

F. Smarandache, Properties of Numbers, 1972.

LINKS

C. Dumitrescu & V. Seleacu, editors, Some Notions and Questions in Number Theory, Vol. I.

M. L. Perez et al., eds., Smarandache Notions Journal

Index entries for sequences generated by sieves

EXAMPLE

List the natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ...

Keep the first two numbers 1, 2, and delete the next three numbers 3, 4, 5.

Keep the next three numbers 6, 7, 8, and delete the next four numbers 9, 10, 11, 12. And so on.

CROSSREFS

Cf. A007950, A007951, A007952.

Sequence in context: A039592 A037454 A030366 this_sequence A026311 A063291 A088225

Adjacent sequences: A048856 A048857 A048858 this_sequence A048860 A048861 A048862

KEYWORD

nonn

AUTHOR

Charles T. Le (charlestle(AT)yahoo.com)

EXTENSIONS

Corrected and revised by the author, Mar 24 2004

More terms from Bernardo Boncompagni (redgolpe(AT)redgolpe.com) Jul 27 2004

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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