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Search: id:A119425
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| A119425 |
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Primitive terms of the sequence A119357, i.e. of the sequence of those values of n for which the number of distinct nonzero sums of distinct divisors of n is less than 2^tau(n)-1. The sequence A119357 is closed under multiplication by positive integers and the primitive terms are those that are not multiples of other terms. |
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+0
2
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| 6, 20, 28, 45, 63, 70, 88, 99, 104, 105, 110, 117, 130, 154, 165, 170, 182, 195, 231, 238, 255, 266, 272, 273, 285, 286, 304, 322, 345, 357, 368, 374, 385, 399, 418, 429, 455, 459, 464, 475, 483, 494, 496, 506, 513, 561, 595, 598, 609, 621, 627, 646, 651, 663
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OFFSET
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1,1
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EXAMPLE
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45 is in the sequence because (i) the divisors 1,5,9,15 of 45 satisfy 15=1+5+9 (consequently the number of distinct nonzero sums of distinct divisors of 45 is less than 2^tau(45)-1) and (ii) no proper divisor of 45 has this property.
The first terms of A119357 are 6,12,18,20,24,28,30,36,40,42,45,48 and, consequently, the first terms of this sequence are 6,20,28,45.
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CROSSREFS
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Cf. A119357.
Sequence in context: A084682 A044970 A090502 this_sequence A006039 A064771 A006036
Adjacent sequences: A119422 A119423 A119424 this_sequence A119426 A119427 A119428
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KEYWORD
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nonn
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AUTHOR
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Emeric Deutsch (deutsch(AT)duke.poly.edu), May 20 2006
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