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A158276 Numbers k such that sigma_1(k) not divides sigma_2(k). +0
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2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) is numbers k such that antiharmonic mean of divisors of k is not an integer. Antiharmonic mean of divisors of number m = Product (p_i^e_i) is A001157(m)/A000203(m) = Product ((p_i^(e_i+1)+1)/(p_i+1)). a(n) = k = A001157(k)/A000203(k) for A001157(k)/A000203(k)is not integer. a(n)non-occurring in A020487.

EXAMPLE

a(12) = 15, sigma_2(15)/sigma_1(15)=260/24 = 65/6 (not integer).

CROSSREFS

Cf. A001157, A000203, A020487.

Sequence in context: A028797 A028773 A028813 this_sequence A028793 A028753 A028745

Adjacent sequences: A158273 A158274 A158275 this_sequence A158277 A158278 A158279

KEYWORD

nonn

AUTHOR

Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Mar 15 2009

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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