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).

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, 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, 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

Offset

1,2

References

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

Links

Table of n, a(n) for n=1..101.

Wikipedia, Powerful number

Example

-1.4879506635322726315987491125787134987961...

Mathematica

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

Crossrefs

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

Sequence in context: A019924 A021209 A247605 * A201937 A211456 A309665

Adjacent sequences: A243997 A243998 A243999 * A244001 A244002 A244003

Keyword

nonn,cons

Author

Jean-François Alcover, Jun 17 2014

Status

approved