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Search: id:A089044
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| A089044 |
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Numbers n such that abs(d(n)-log(n)+1-2*gamma) is a decreasing sequence, where d(n) is the number of divisors A000005(n) and gamma is Euler's constant A001620. |
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+0
2
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| 1, 3, 5, 7, 46, 2514, 2522, 2526, 2534, 2536, 2542, 2546, 2553, 2555, 18873, 139454, 139475, 7614005, 7614010, 7614015, 7614022, 7614030, 7614033, 7614034, 7614056, 7614062, 7614066, 7614069, 7614079, 7614082, 7614086, 7614087, 7614088
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, Theorem 320.
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
Leroy Quet, Two number-theoretical limits (& bonus sum). Thread in NG sci.math.
Eric Weisstein's World of Mathematics, Euler-Mascheroni Constant. Section from World of Mathematics.
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EXAMPLE
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a(5)=46 because d(46)-log(46)+1-2*0.5772156649...=0.016927274... is less than
abs(d(7)-log(7)+1-2*0.5772156649...)=abs(-0.100341479...) with d(46)=4 and d(7)=2.
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CROSSREFS
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Cf. A000005 = number of divisors of n, A001620 = Euler's constant gamma, A089084.
Sequence in context: A130536 A146972 A102742 this_sequence A117646 A064857 A065913
Adjacent sequences: A089041 A089042 A089043 this_sequence A089045 A089046 A089047
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet and Hugo Pfoertner (hugo(AT)pfoertner.org), Dec 02 2003
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EXTENSIONS
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Terms a(6),... from Hans Havermann (pxp(AT)rogers.com), Dec 02 2003
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