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Search: id:A139547
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| 1, 2, 1, 6, 1, 1, 12, 2, 1, 1, 60, 2, 1, 1, 1, 60, 6, 2, 1, 1, 1, 420, 6, 2, 1, 1, 1, 1, 840, 12, 2, 2, 1, 1, 1, 1, 2520, 12, 6, 2, 1, 1, 1, 1, 1, 2520, 60, 6, 2, 2, 1, 1, 1, 1, 1, 27720, 60, 6, 2, 2, 1, 1, 1, 1, 1, 1, 27720, 60, 12, 6, 2, 2, 1, 1, 1, 1, 1, 1, 360360, 60, 12, 6, 2, 2, 1, 1, 1, 1, 1
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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This triangle fits the formula of I. Vardi in the Mathworld link about the von Mangoldt function. That formula is the basis for Chebyshev's estimate for the number of primes.
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REFERENCES
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I. Vardi, Computational Recreations in Mathematica. Addison-Wesley, Redwood City, CA, 1991, p. 155.
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LINKS
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Weisstein, Eric W, Mangoldt Function..
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EXAMPLE
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Triangle begins:
1;
2,1;
6,1,1;
12,2,1,1;
60,2,1,1,1;
60,6,2,1,1,1;
420,6,2,1,1,1,1;
840,12,2,2,1,1,1,1;
2520,12,6,2,1,1,1,1,1;
2520,60,6,2,2,1,1,1,1,1;
27720,60,6,2,2,1,1,1,1,1,1;
27720,60,12,6,2,2,1,1,1,1,1,1;
360360,60,12,6,2,2,1,1,1,1,1,1,1;
...
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CROSSREFS
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Cf. A000142, A010766, A014963, A003418, A139550, A139552, A139554.
Sequence in context: A060480 A094673 A089808 this_sequence A126342 A082388 A085099
Adjacent sequences: A139544 A139545 A139546 this_sequence A139548 A139549 A139550
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KEYWORD
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nonn,tabl
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AUTHOR
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Mats Granvik (mgranvik(AT)abo.fi), Apr 27 2008, May 07 2008
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EXTENSIONS
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Edited by Mats Granvik (mats.granvik(AT)abo.fi), Jun 28 2009
Further edits from N. J. A. Sloane, Jul 03 2009
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