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A122153
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Decimal expansion of Parity Prime Constant C = Sum[ (-1)^(k+1) * 1/2^Prime[k], {k,1,Infinity} ].
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4
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1, 4, 8, 8, 0, 9, 5, 5, 0, 7, 8, 8, 7, 7, 6, 2, 2, 4, 9, 6, 9, 5, 6, 8, 4, 6, 7, 8, 6, 6, 7, 9, 6, 5, 3, 1, 9, 8, 2, 2, 2, 4, 1, 3, 2, 8, 0, 8, 2, 1, 7, 0, 6, 7, 3, 7, 1, 7, 7, 0, 0, 0, 0, 5, 6, 3, 3, 1, 3, 9, 1, 2, 6, 2, 2, 3, 3, 3, 7, 4, 5, 1, 8, 4, 9, 4, 5, 1, 4, 3, 7, 7, 8, 8, 8, 0, 8, 5, 2
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OFFSET
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0,2
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COMMENTS
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Parity Prime Constant C = Sum[ (-1)^(k+1) * 1/2^Prime[k], {k,1,Infinity} ]. C = limit[ A122150[n] / A034765[n], n->Infinity ] = 0.148809550788776224969568467866796531982224132808217067371770000563313912... Binary expansion of Primary Prime Constant C is given in A071986[n] = Mod[Pi[n], 2].
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LINKS
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Table of n, a(n) for n=0..98.
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MATHEMATICA
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RealDigits[Sum[(-1)^(k+1)*1/2^Prime[k], {k, 1, 1000}], 10, 100]
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CROSSREFS
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Cf. A034765, A122150, A122151, A122152, A122153, A071986, A000720.
Sequence in context: A135863 A176221 A021676 * A200628 A202245 A153258
Adjacent sequences: A122150 A122151 A122152 * A122154 A122155 A122156
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KEYWORD
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nonn,cons
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AUTHOR
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Alexander Adamchuk, Aug 22 2006
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EXTENSIONS
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Offset corrected by R. J. Mathar, Feb 05 2009
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STATUS
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approved
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