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A103865 a(1) = 1; a(n) = smallest positive integer not occurring earlier in sequence if n is a composite. a(n) = a(n-1)th smallest positive integer among those not occurring earlier in sequence if n is prime. +0
4
1, 2, 4, 3, 7, 5, 11, 6, 8, 9, 19, 10, 22, 12, 13, 14, 30, 15, 33, 16, 17, 18, 40, 20, 21, 23, 24, 25, 53, 26, 56, 27, 28, 29, 31, 32, 68, 34, 35, 36, 76, 37, 79, 38, 39, 41, 87, 42, 43, 44, 45, 46, 98, 47, 48, 49, 50, 51, 109, 52, 112, 54, 55, 57, 58, 59, 125, 60, 61, 62, 132 (list; graph; listen)
OFFSET

1,2

COMMENT

Sequence is a permutation of the positive integers.

EXAMPLE

Since 5 is prime, a(5) = a(4)th (3rd) smallest positive integer not occurring earlier in sequence. The terms not occurring earlier in sequence are 5,6,7,8,9..., and the 3rd of these is 7.

CROSSREFS

Cf. A103864, A103866, A103867.

Adjacent sequences: A103862 A103863 A103864 this_sequence A103866 A103867 A103868

Sequence in context: A084385 A073885 A120234 this_sequence A065579 A056536 A108228

KEYWORD

nonn

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Feb 18 2005

EXTENSIONS

More terms from Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 22 2006

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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