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A100125
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Decimal expansion of Sum_{n>0} n/(2^(n^2)).
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1
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6, 3, 0, 9, 2, 0, 5, 5, 9, 2, 5, 5, 1, 8, 5, 8, 6, 4, 7, 7, 8, 3, 2, 4, 0, 0, 3, 9, 0, 7, 9, 4, 3, 3, 7, 0, 0, 9, 2, 1, 5, 1, 4, 2, 9, 9, 2, 1, 7, 8, 7, 9, 8, 6, 8, 0, 6, 4, 4, 4, 2, 4, 8, 9, 9, 9, 8, 9, 8, 0, 8, 1, 0, 7, 8, 3, 8, 1, 7, 7, 3, 4, 7, 3, 8, 8, 2, 0, 0, 1, 9, 2, 0, 6, 4, 4, 4, 5, 2, 1
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OFFSET
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0,1
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COMMENTS
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This number is obviously 2-dense, but not 2-normal: any finite binary string s representing the value N will appear in its digits, not later than those added by the term N/2^(N^2), but nonzero digits have density zero since the gap between those added by subsequent terms is increasing much faster (~ n) than the maximal possible number of new nonzero digits (~ log_2(n)). - M. F. Hasler, Mar 22 2017
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LINKS
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EXAMPLE
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0.6309205592551858647783240039079433700921514299217879868...
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MATHEMATICA
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PROG
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(PARI) default(realprecision, 100); sum(n=1, 100, n/(2^(n^2)), 0.) \\ Typo corrected. sum(n=1, 100, n*1.>>(n^2)) is 25 x faster for 1000 digits. - M. F. Hasler, Mar 22 2017
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CROSSREFS
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Cf. A066716: binary Champernowne constant.
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KEYWORD
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 11 2004
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EXTENSIONS
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STATUS
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approved
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