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

Author

Robert G. Wilson v, Aug 03 2010

Keywords

• cons
• nonn
• base

Comments

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

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

Examples

			0.0008258903479192529386079577501789135432537929965887385729771528345968177...
		

Links

• 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

Crossrefs

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

Formula

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

Extensions

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

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