A179954 Decimal expansion of the sum of the reciprocals of pandigital numbers in which each digit appears exactly once.

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, 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, 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

Offset

0,4

Comments

This is example in 3. 1(a) of R. Baillie, revised.

This is a finite sum so it is a rational number.

Links

Table of n, a(n) for n=0..104.

Robert Baillie, Sums of reciprocals of integers missing a given digit, Amer. Math. Monthly, 86 (1979), 372-374.

Robert Baillie, Summing The Curious Series Of Kempner and Irwin, arXiv:0806.4410 [math.CA], 2008-2015.

Wolfram Library Archive, KempnerSums.nb (8.6 KB) - Mathematica Notebook, Summing Kempner's Curious (Slowly-Convergent) Series

Eric Weisstein's World of Mathematics, Digit

Wikipedia, Kempner series

Formula

Sum_{k=1..3265920} 1/A050278(k).

Example

0.0008258903479192529386079577501789135432537929965887385729771528345968177...

Crossrefs

Cf. A050278, A010784, A082830-A082839, A140502, A160502.

Sequence in context: A179048 A173158 A020787 * A197518 A248300 A002994

Adjacent sequences: A179951 A179952 A179953 * A179955 A179956 A179957

Keyword

cons,nonn,base

Author

Robert G. Wilson v, Aug 03 2010

Extensions

Standardized offset and leading zeros from R. J. Mathar, Aug 06 2010

More terms from Robert G. Wilson v, Sep 07 2010

Status

approved