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A086240
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Decimal expansion of Sum[c[k]/Prime[k]^2,{k,2,Infinity}], where c[k]=-1 if Mod[p,4]==1 and c[k]=+1 if Mod[p,4]==3.
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0
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0, 9, 4, 6, 1, 9, 8, 9, 2, 8, 9, 2, 9, 5, 0, 1, 5, 7, 9, 4, 5, 1, 8, 6, 7, 9, 0, 1, 4, 9, 1, 7, 4, 8, 0, 9, 6, 0, 1, 8, 8, 0, 3, 4, 0, 2, 4, 9, 7, 2, 1, 3, 5, 7, 1, 4, 8, 5, 9, 6, 0, 8, 5, 7, 5, 9, 4, 3, 1, 3, 7, 3, 2, 7, 5, 6, 2, 5, 5
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 94-98
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LINKS
| R. J. Mathar, Table of Dirichlet L-series and Prime Zeta Modulo functions for small moduli, arXiv:1008.2547 [math.NT], variable S(m=4,s=2,r=2).
Eric Weisstein's World of Mathematics, Prime Sums
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EXAMPLE
| 0.0946198928...
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CROSSREFS
| Sequence in context: A172197 A016630 A099281 * A197155 A153756 A139720
Adjacent sequences: A086237 A086238 A086239 * A086241 A086242 A086243
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KEYWORD
| nonn,cons,hard,more
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Jul 13, 2003
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EXTENSIONS
| A missing digit inserted and more digits added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 28 2010
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