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A079358 a(n) is taken to be the smallest positive integer greater than a(n-1) which is consistent with the condition "n is a member of the sequence if and only if a(n) is not a multiple of either 3 or 4.". +0
2
1, 2, 4, 5, 7, 8, 10, 11, 12, 13, 14, 17, 19, 22, 24, 27, 29, 30, 31, 32, 33, 34, 36, 37, 39, 40, 41, 42, 43, 46, 47, 49, 50, 53, 54, 55, 58, 60, 61, 62, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 79, 82, 84, 87, 89, 90, 91, 94, 95, 96, 99, 101, 103, 106, 107, 109 (list; graph; listen)
OFFSET

1,2

COMMENT

A generalization of A079000 that, like A079000 itself, is based on a class of numbers comprising exactly one-half of the integers.

LINKS

B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence, J. Integer Seqs., Vol. 6 (2003), #03.2.2.

B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence (math.NT/0305308)

EXAMPLE

a(3) cannot be 3 because that would imply that the third term is not a multiple of 3. 4 is the smallest possible value for a(3) that creates no contradiction; therefore a(3)=4 and the fourth term is the next member of the sequence that is not a multiple of 3 or 4.

CROSSREFS

Cf. A079000.

Sequence in context: A005839 A062102 A092289 this_sequence A066344 A059549 A155902

Adjacent sequences: A079355 A079356 A079357 this_sequence A079359 A079360 A079361

KEYWORD

easy,nonn

AUTHOR

Matthew Vandermast (ghodges14(AT)comcast.net), Feb 14 2003

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Last modified December 20 13:54 EST 2009. Contains 171081 sequences.


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