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Search: id:A116217
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| A116217 |
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Decimal expansion of constant Sum_{i,j,k=1..inf} 1/2^(i*j*k). |
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1
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| 2, 3, 2, 4, 7, 8, 4, 7, 7, 2, 8, 4, 0, 4, 7, 9, 0, 6, 1, 2, 3, 5, 2, 1, 7, 6, 8, 2, 8, 6, 1, 3, 9, 3, 0, 4, 6, 0, 2, 0, 9, 5, 1, 3, 4, 5, 2, 2, 5, 4, 7, 6, 0, 5, 3, 6, 0, 1, 4, 6, 9, 4, 6, 4, 4, 4, 1, 9, 2, 2, 0, 2, 0, 0, 4, 6, 3, 9, 7, 7, 0, 3, 1, 7, 3, 6, 9, 8, 8, 4, 0, 1, 5, 1
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n) is decimal expansion of constant that is a sum of triple series Sum[Sum[Sum[1/2^(i*j*k),{i,1,Infinity}],{j,1,Infinity}],{k,1,Infinity}] = 2.3247847... It is similar to Erdos-Borwein constant Sum[Sum[1/2^(i*j),{i,1,Infinity}],{j,1,Infinity}] = Sum[1/(2^k-1),{k,1,Infinity}] = 1.60669515...
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LINKS
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Eric Weisstein's World of Mathematics, Triple Series.
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FORMULA
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Equals sum_(n=1..infinity) A007425(n)/2^n . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 23 2008
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EXAMPLE
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2.3247847...
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CROSSREFS
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Cf. A065442 = Decimal expansion of Erdos-Borwein constant Sum_{k=1..inf} 1/(2^k-1).
Sequence in context: A128502 A079159 A132439 this_sequence A108838 A105070 A154578
Adjacent sequences: A116214 A116215 A116216 this_sequence A116218 A116219 A116220
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KEYWORD
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cons,more,nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Apr 09 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 23 2008
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