|
Search: id:A082833
|
|
|
| A082833 |
|
Decimal expansion of the (finite) value of the sum_{ k >= 1, k has no digit equal to 4 in base 10 } 1/k. |
|
+0
10
|
|
| 2, 1, 3, 2, 7, 4, 6, 5, 7, 9, 9, 5, 9, 0, 0, 3, 6, 6, 8, 6, 6, 3, 9, 4, 0, 1, 4, 8, 6, 9, 3, 9, 5, 1, 2, 8, 4, 3, 7, 5, 0, 9, 5, 1, 7, 0, 3, 2, 7, 0, 0, 2, 1, 8, 1, 7, 2, 5, 1, 1, 8, 9, 5, 4, 1, 9, 7, 7, 8, 8, 4, 2, 7, 2, 4, 5, 1, 3, 3, 5, 3, 7, 5, 3, 8, 1, 2, 0, 1, 3, 0, 2, 8, 4, 0, 6, 9, 3, 5, 4, 7, 7, 8, 9, 7
(list; cons; graph; listen)
|
|
|
OFFSET
|
2,1
|
|
|
REFERENCES
|
Robert Baillie, Sums of reciprocals of integers missing a given digit, Amer. Math. Monthly, 86 (1979), 372-374.
Julian Havil, Gamma, Exploring Euler's Constant, Princeton University Press, Princeton and Oxford, 2003, page 34.
|
|
LINKS
|
Baillie, Revised August 17, 2008, Summing The Curious Series Of Kempner And Irwin [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009]
Wolfram Library Archive, KempnerSums.nb (8.6 KB) - Mathematica Notebook, Summing Kempner's Curious (Slowly-Convergent) Series [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009]
|
|
EXAMPLE
|
21.32746579959003668663...
= 21.32746579959003668663940148693951284375095170327002181725118954... [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009]
|
|
MATHEMATICA
|
(* see the Mmca in Wolfram Library Archive *) [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009]
|
|
CROSSREFS
|
Cf. A002387, A024101, A082830, A082831, A082832, A082834, A082835, A082836, A082837, A082838, A082839.
Sequence in context: A026805 A022477 A144238 this_sequence A101709 A005247 A135259
Adjacent sequences: A082830 A082831 A082832 this_sequence A082834 A082835 A082836
|
|
KEYWORD
|
nonn,cons,base
|
|
AUTHOR
|
Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 14 2003
|
|
EXTENSIONS
|
More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 01 2009
|
|
|
Search completed in 0.002 seconds
|
