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Search: id:A098896
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| A098896 |
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p(n)-adic valuation of the n-th superior highly composite number N(n), where p(n) = N(n)/N(n-1). |
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+0
1
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| 1, 1, 2, 1, 3, 2, 1, 4, 1, 1, 5, 3, 2, 1, 1, 6, 1, 2, 1, 4, 1, 7, 1, 1, 1, 1, 3, 1, 1, 8, 2, 1, 5, 1, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 3, 1, 1, 2, 1
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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(1+1/a(n)) appears in the denominators of the log arguments of the denominators of the numbers in the table of the reference, pp. 115-117.
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REFERENCES
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S. Ramanujan, Highly composite numbers, Proc. London Math. Soc., 14 (1915), 347-407. Reprinted in Collected Papers, Ed. G. H. Hardy et al., Cambridge 1927; Chelsea, NY, 1962, pp. 78-129. See esp. pp. 87, 115-117.
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LINKS
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S. Ramanujan, Highly Composite Numbers.
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EXAMPLE
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a(8) = 4 since N(8)=5040 has 2-adic valuation of 4 and N(8)/N(7)=2.
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CROSSREFS
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Cf. A000705, A002201.
Sequence in context: A071499 A039953 A086414 this_sequence A108371 A138530 A002341
Adjacent sequences: A098893 A098894 A098895 this_sequence A098897 A098898 A098899
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KEYWORD
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nonn
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AUTHOR
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David Terr (David_C_Terr(AT)raytheon.com), Oct 14 2004
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