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%I #30 Jan 25 2022 09:45:04
%S 0,0,0,8,2,5,8,9,0,3,4,7,9,1,9,2,5,2,9,3,8,6,0,7,9,5,7,7,5,0,1,7,8,9,
%T 1,3,5,4,3,2,5,3,7,9,2,9,9,6,5,8,8,7,3,8,5,7,2,9,7,7,1,5,2,8,3,4,5,9,
%U 6,8,1,7,7,9,0,6,0,8,8,3,1,0,9,7,1,5,9,4,1,2,0,1,8,9,7,0,1,3,9,6,0,9,9,3,9
%N Decimal expansion of the sum of the reciprocals of pandigital numbers in which each digit appears exactly once.
%C This is example in 3. 1(a) of R. Baillie, revised.
%C This is a finite sum so it is a rational number.
%H Robert Baillie, <a href="http://www.jstor.org/stable/2321096">Sums of reciprocals of integers missing a given digit</a>, Amer. Math. Monthly, 86 (1979), 372-374.
%H Robert Baillie, <a href="http://arxiv.org/abs/0806.4410">Summing The Curious Series Of Kempner and Irwin</a>, arXiv:0806.4410 [math.CA], 2008-2015.
%H Wolfram Library Archive, KempnerSums.nb (8.6 KB) - Mathematica Notebook, <a href="http://library.wolfram.com/infocenter/MathSource/7166/">Summing Kempner's Curious (Slowly-Convergent) Series</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Digit.html">Digit</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Kempner_series">Kempner series</a>
%F Sum_{k=1..3265920} 1/A050278(k).
%e 0.0008258903479192529386079577501789135432537929965887385729771528345968177...
%Y Cf. A050278, A010784, A082830-A082839, A140502, A160502.
%K cons,nonn,base
%O 0,4
%A _Robert G. Wilson v_, Aug 03 2010
%E Standardized offset and leading zeros from _R. J. Mathar_, Aug 06 2010
%E More terms from _Robert G. Wilson v_, Sep 07 2010
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