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A244000 Decimal expansion of the Bateman-Grosswald constant zeta(2/3)/zeta(2), a constant (negated) arising in the asymptotic evaluation of the number of square-full numbers (also called "powerful" numbers). 4

%I #6 Aug 09 2015 16:10:29

%S 1,4,8,7,9,5,0,6,6,3,5,3,2,2,7,2,6,3,1,5,9,8,7,4,9,1,1,2,5,7,8,7,1,3,

%T 4,9,8,7,9,6,1,0,8,5,3,8,1,2,1,0,4,4,2,5,1,4,2,4,6,8,8,1,7,2,8,3,5,6,

%U 1,2,9,0,2,1,7,2,2,6,0,1,1,5,7,0,1,4,2,4,3,9,8,7,9,4,5,0,8,6,8,9,5

%N Decimal expansion of the Bateman-Grosswald constant zeta(2/3)/zeta(2), a constant (negated) arising in the asymptotic evaluation of the number of square-full numbers (also called "powerful" numbers).

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.6 Niven's constant, p. 113.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Powerful_number">Powerful number</a>

%e -1.4879506635322726315987491125787134987961...

%t RealDigits[ Zeta[2/3] / Zeta[2], 10, 101] // First

%Y Cf. A001694, A033150, A059956 (analog for squarefree integers), A090699.

%K nonn,cons

%O 1,2

%A _Jean-François Alcover_, Jun 17 2014

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Last modified September 3 22:09 EDT 2024. Contains 375675 sequences. (Running on oeis4.)