A179954 - OEIS

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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 (list; constant; graph; refs; listen; history; text; internal format)

	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`

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Last modified December 1 23:44 EST 2022. Contains 358485 sequences. (Running on oeis4.)