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A094702
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Least linear combinations of phi ( n ) and sigma ( n ) are multiple.
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0
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2, 12, 42, 90, 110, 152, 171, 208, 231, 336, 408, 476, 506, 765, 783, 840, 1242, 1380, 1584, 1911, 2120, 2162, 2528, 2604, 2688, 2706, 2720, 2970, 3162, 3172, 3325, 3392, 3422, 3619, 3654, 3708, 3870, 4144, 4371, 4472, 4508, 4712, 4760, 4876, 5256, 5372
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OFFSET
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0,1
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COMMENTS
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"Multiple" is used here with two distinct meanings. The linear combination of phi and sigma must be a multiple of the argument to be tallied (Cf. A094701). There must be a multiple, i.e. at least 2, of those linear combinations for the value to be in this sequence. 3 is not in this sequence because there is only one linear combination with minimal sum, 2, viz., 1*phi(3) + 1*sigma(3), which is a multiple of 3.
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LINKS
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Table of n, a(n) for n=0..45.
Walter Nissen, Home Page (listed in lieu of email address)
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EXAMPLE
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2 is in the sequence because there are 3 minimal combinations of phi ( 2 )
and sigma ( 2 ), viz., 2*sigma(2), 1*phi(2) + 1*sigma(2) and 2*phi(2),
all of which are multiples of 2 and all of which have coefficients totaling
2, viz., 0+2 = 1+1 = 2+0.
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CROSSREFS
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Cf. A000010, A000203, A094701.
Sequence in context: A127725 A185619 A048014 * A001621 A189491 A055681
Adjacent sequences: A094699 A094700 A094701 * A094703 A094704 A094705
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KEYWORD
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nonn
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AUTHOR
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Walter Nissen May 20 2004
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STATUS
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approved
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