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A060388
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Decimal expansion of alpha(2) = Sum_{i>0}ithprime(i)*2^(-i^2).
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0
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1, 1, 9, 7, 3, 7, 2, 7, 6, 4, 5, 3, 8, 1, 8, 8, 8, 6, 1, 7, 1, 3, 4, 7, 7, 9, 5, 4, 2, 0, 5, 3, 7, 8, 1, 9, 7, 8, 1, 9, 0, 2, 8, 2, 1, 3, 9, 9, 0, 3, 7, 2, 1, 9, 0, 1, 3, 0, 7, 7, 2, 4, 5, 1, 4, 0, 3, 0, 3, 6, 4, 7, 6, 9, 4, 0, 3, 4, 2, 6, 7, 9, 0, 9, 2, 1, 2, 7, 5, 4, 9, 1, 4, 4, 3, 1, 4, 1, 0, 4, 3, 1, 1, 2, 2
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| ithprime(n) = floor(2^(n^2)*alpha(2))-2^(2*n-1)*floor(2^((n-1)^2)*alpha(2)). For n = 6 we have ithprime(6) = floor(2^36*alpha(2))-2^11*floor(2^25*alpha(2)) = 82282829837-2048*40177163 = 13.
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REFERENCES
| G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Clarendon Press, Oxford, 1979, page 345.
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EXAMPLE
| alpha(2) = 1.19737276453818886171347795420537819781902821399037219013\
077245140303647694034267909212754914431410431122998171762351103482006\
076264716653454638...
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CROSSREFS
| Sequence in context: A002205 A033873 A135449 * A081821 A164102 A105532
Adjacent sequences: A060385 A060386 A060387 * A060389 A060390 A060391
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KEYWORD
| nonn,cons
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 03 2001
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