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 A194181 Decimal expansion of the (finite) value of the Sum_{k >= 1, k has no even digit in base 10 } 1/k. 3
 3, 1, 7, 1, 7, 6, 5, 4, 7, 3, 4, 1, 5, 9, 0, 4, 9, 5, 7, 2, 2, 8, 7, 0, 9, 7, 0, 8, 7, 5, 0, 6, 1, 1, 6, 5, 6, 7, 9, 7, 0, 5, 0, 7, 0, 8, 3, 9, 6, 2, 8, 5, 7, 2, 4, 1, 6, 4, 1, 8, 6, 8, 9, 8, 4, 3, 7, 1, 3, 7, 6, 8, 8, 5, 8, 5, 6, 1, 9, 2, 6, 6, 8, 8, 5, 2, 3, 1, 0, 8, 0, 7, 4, 7, 1, 5, 6, 0, 4, 5, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS For an elementary proof that this series is convergent, see Honsberger's reference. - Bernard Schott, Jan 13 2022 REFERENCES Ross Honsberger, Mathematical Gems II, Dolciani Mathematical Expositions No. 2, Mathematical Association of America, 1976, pp. 102 and 177. LINKS Thomas Schmelzer and Robert Baillie, Summing a curious, slowly convergent, harmonic subseries, American Mathematical Monthly 115:6 (2008), pp. 525-540. [preprint] Wikipedia, Kempner series FORMULA Equals Sum_{n>=1} 1/A014261(n). - Bernard Schott, Jan 13 2022 EXAMPLE 3.17176547341590495722870970875061165679705070839628572416418689843... CROSSREFS Cf. A014261, A082830, A194182. Sequence in context: A323599 A167515 A140435 * A277934 A063754 A163117 Adjacent sequences: A194178 A194179 A194180 * A194182 A194183 A194184 KEYWORD cons,nonn AUTHOR Robert G. Wilson v, Aug 18 2011 STATUS approved

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Last modified March 24 04:28 EDT 2023. Contains 361454 sequences. (Running on oeis4.)