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Search: id:A090699
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| A090699 |
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Decimal expansion of the Erdos-Szekeres constant zeta(3/2)/zeta(3). |
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+0
2
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| 2, 1, 7, 3, 2, 5, 4, 3, 1, 2, 5, 1, 9, 5, 5, 4, 1, 3, 8, 2, 3, 7, 0, 8, 9, 8, 4, 0, 4, 3, 8, 2, 2, 3, 7, 2, 2, 9, 0, 6, 7, 1, 1, 3, 2, 9, 1, 3, 1, 6, 6, 0, 8, 5, 6, 7, 4, 9, 1, 7, 5, 7, 5, 8, 9, 6, 7, 0, 5, 9, 6, 6, 1, 7, 2, 6, 6, 4, 4, 4, 6, 8, 2, 0, 3, 7, 8, 5, 7, 2, 7, 8, 3, 8, 3, 1, 7, 6, 5, 1, 0, 2, 6, 6, 4
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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Let N(x) denotes the number of 2-full integers not exceeding x. Then limit x ->infty N(x)/sqrt(x)=zeta(3/2)/zeta(3). Also related to Niven's constant.
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 112-114.
S. W. Golomb, Powerful numbers, Amer. Math. Monthly, Vol. 77 (1970), 848-852.
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FORMULA
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Product_{p prime} (1+1/p^(3/2)) = zeta(3/2)/zeta(3) - T. D. Noe (noe(AT)sspectra.com), May 03 2006
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EXAMPLE
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zeta(3/2)/zeta(3) = 2.17325431251955413823708984...
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MATHEMATICA
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RealDigits[N[Zeta[3/2]/Zeta[3], 150]] - T. D. Noe (noe(AT)sspectra.com), May 03 2006
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CROSSREFS
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Cf. A001694 (powerful numbers), A102834 (non-square powerful numbers).
Cf. A033150.
Sequence in context: A136535 A091370 A125697 this_sequence A120903 A021050 A115629
Adjacent sequences: A090696 A090697 A090698 this_sequence A090700 A090701 A090702
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KEYWORD
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cons,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 14 2004
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EXTENSIONS
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Edited by njas at the suggestion of Andrew Plewe, May 16 2007
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