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A164833 Decimal expansion of (pi/8)-(log 2)/2. 3
0, 4, 6, 1, 2, 5, 4, 9, 1, 4, 1, 8, 7, 5, 1, 5, 0, 0, 0, 9, 9, 2, 1, 4, 3, 6, 2, 1, 8, 0, 8, 4, 9, 5, 7, 6, 4, 8, 6, 8, 9, 6, 1, 0, 7, 7, 4, 1, 7, 6, 0, 6, 0, 0, 5, 6, 1, 5, 2, 8, 0, 6, 9, 2, 9, 1, 7, 8, 0, 2, 3, 9, 8, 0, 0, 9, 2, 8, 7, 6, 7, 0, 2, 5, 5, 7, 2, 6, 8, 9, 6, 6, 9, 5, 5, 5, 2, 8, 9, 7, 2, 6, 7, 6, 7, 7, 7, 0, 3, 0, 3, 8, 7, 4, 9, 4, 5, 4, 6 (list; constant; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Digits and formula given at Waldschmidt, p.4

REFERENCES

Mohammad K. Azarian, Problem 1218, Pi Mu Epsilon Journal, Vol. 13, No. 2, Spring 2010, p. 116.  Solution published in Vol. 13, No. 3, Fall 2010, pp. 183-185.

A. J. Van Der Poorten, Effectively computable bounds for the solutions of certain Diophantine equations, Acta Arith., 33 (1977), pp. 195-207.

LINKS

Michel Waldschmidt, Perfect Powers: Pillai's works and their developments, Aug 27, 2009.

FORMULA

Sum[n=0..infinity]Sum[m=1..infinity](1/((4*n+3)^(2*m+1))).

EXAMPLE

0.046125491418751500099..

CROSSREFS

Cf. A001597, A019675, A016655.

Cf. A195909, A195913, A195697. - Mohammad K. Azarian, Oct 11 2011

Sequence in context: A019646 A154748 A190282 * A106144 A154478 A051261

Adjacent sequences:  A164830 A164831 A164832 * A164834 A164835 A164836

KEYWORD

cons,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 27 2009

EXTENSIONS

Normalized offset and leading zeros - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 27 2009

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.