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A193535 Decimal expansion of log(2)/3. 2
2, 3, 1, 0, 4, 9, 0, 6, 0, 1, 8, 6, 6, 4, 8, 4, 3, 6, 4, 7, 2, 4, 1, 0, 7, 0, 7, 1, 5, 2, 7, 2, 5, 5, 2, 2, 6, 9, 1, 8, 3, 3, 3, 7, 8, 1, 2, 0, 0, 8, 5, 0, 8, 4, 7, 0, 6, 8, 9, 3, 3, 3, 6, 4, 9, 7, 7, 9, 7, 8, 7, 3, 9, 8, 9, 8, 9, 8, 2, 3, 8, 5, 3, 5, 2, 8, 7, 7, 7, 5, 6, 6, 5, 4, 7, 2, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

This number is involved as an addend or subtrahend in the closed forms of certain series of reciprocals of integers (see for example A113476).

Equals sum(n>=1, (-1)^(n-1)/(n*2^n*binomial(2*n, n))). - Arkadiusz Wesolowski, Jan 20 2013

REFERENCES

Murray R. Spiegel, Seymour Lipschutz, John Liu. Mathematical Handbook of Formulas and Tables, 3rd Ed. Schaum's Outline Series. New York: McGraw-Hill (2009): p. 135, equations 21.16 and 21.18

L. B. W. Jolley, Summation of Series, Dover (1961)

LINKS

Table of n, a(n) for n=0..96.

Index entries for transcendental numbers

FORMULA

Equals lim_{n->infinity} [sum_{i = 1..n} i^2/(n^3 + i^3)]. - [Jolley eq 292, p.52]

EXAMPLE

0.231049060186648...

MATHEMATICA

RealDigits[(Log[2]/3), 10, 100][[1]]

PROG

(PARI) log(2)/3 \\ Charles R Greathouse IV, Jul 29 2011

CROSSREFS

Sequence in context: A275808 A038554 A100329 * A081247 A298753 A173050

Adjacent sequences:  A193532 A193533 A193534 * A193536 A193537 A193538

KEYWORD

nonn,cons

AUTHOR

Alonso del Arte, Jul 29 2011

STATUS

approved

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Last modified August 19 18:51 EDT 2019. Contains 326133 sequences. (Running on oeis4.)