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A166070 a(0) = 1, for n >= 1, a(n) = numbers k such that sigma(k) is divisible by all proper divisors of k: primes and multiply perfect numbers. +0
3
1, 2, 3, 5, 6, 7, 11, 13, 17, 19, 23, 28, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 120, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263 (list; graph; listen)
OFFSET

0,2

COMMENT

Union of primes (A000040) and multiply perfect numbers (A007691). Union of number 1, sequence A053813 and sequence A166069. Union of number 1, primes (A000040), perfect numbers (A000396) and sequence A166069.

EXAMPLE

For n = 4 the a(4) = 6, all proper divisors of 6 (1, 2, 3) divides sigma (6) = 12.

CROSSREFS

Sequence in context: A062101 A096530 A003174 this_sequence A053813 A116974 A031402

Adjacent sequences: A166067 A166068 A166069 this_sequence A166071 A166072 A166073

KEYWORD

nonn,uned

AUTHOR

Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Oct 06 2009, Oct 16 2009

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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