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A016655 Decimal expansion of ln(32) = 5*ln(2). 8
3, 4, 6, 5, 7, 3, 5, 9, 0, 2, 7, 9, 9, 7, 2, 6, 5, 4, 7, 0, 8, 6, 1, 6, 0, 6, 0, 7, 2, 9, 0, 8, 8, 2, 8, 4, 0, 3, 7, 7, 5, 0, 0, 6, 7, 1, 8, 0, 1, 2, 7, 6, 2, 7, 0, 6, 0, 3, 4, 0, 0, 0, 4, 7, 4, 6, 6, 9, 6, 8, 1, 0, 9, 8, 4, 8, 4, 7, 3, 5, 7, 8, 0, 2, 9, 3, 1, 6, 6, 3, 4, 9, 8, 2, 0, 9, 3, 4, 3 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

ln(32) = 10*ln(2)/2 = 5*ln(2) = 5*A002162, so 10*(1/2-1/4+1/6-1/8+1/10-1/2n...)=ln(32). -Eric Desbiaux (moongerms(AT)wanadoo.fr), Nov 26 2008

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 2.

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..20000

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

FORMULA

log(2)/2 = (1-1/2-1/4) + (1/3-1/6-1/8) + (1/5-1/10-1/12)+.. [Jolley, Summation of Series, Dover (1961) eq (73)]

EXAMPLE

3.465735902799726547086160607290882840377500671801276270603400047466968...

PROG

(PARI) log(32) \\ Charles R Greathouse IV, Jan 24 2012

CROSSREFS

Cf. A195909, A195913, A195697, A016460 (continued fraction).

Sequence in context: A047840 A037189 A083342 * A057757 A058838 A001177

Adjacent sequences:  A016652 A016653 A016654 * A016656 A016657 A016658

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 05:31 EST 2012. Contains 205860 sequences.