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Search: id:A161166
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| A161166 |
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Decimal expansion of a constant in the linear term in the growth rate of unitary square-free divisors. |
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+0
1
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| 7, 4, 8, 3, 7, 2, 3, 3, 3, 4, 2, 9, 6, 7, 4
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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Other constituents of the linear term are in A065463, A073002, A001620 and A059956.
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REFERENCES
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D. Suryanarayana and V. Siva Rama Prasad, The number of k-ary, k+1-free divisors of an integer, J. Reine Angew. Math. 276 (1975) 15-35.
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LINKS
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Steven Finch, Unitarism and Infinitarism, 2004.
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FORMULA
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Equals sum_{primes p} (2p+1)*log(p)/((p+1)(p^2+p-1)) = sum_p log(p)*[2/(p^2-1)-3/p^3-1)+4/(p^4-1)-10/(p^5-1)....] where the terms accumulate essentially the logarithmic derivative of the Riemann zeta function at s=2, 3, 4,...
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CROSSREFS
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Sequence in context: A133055 A021576 A010509 this_sequence A092034 A153042 A119824
Adjacent sequences: A161163 A161164 A161165 this_sequence A161167 A161168 A161169
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KEYWORD
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cons,nonn
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AUTHOR
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R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 04 2009
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