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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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21
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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
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OFFSET
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1,1
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COMMENTS
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Let N(x) denotes the number of 2-full integers not exceeding x. Then lim_{x->oo} 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.
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LINKS
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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, May 03 2006
Equals lim_{n->oo} (Sum_{k=1..n} A051904(k) - n)/sqrt(n) (Niven, 1969). - Amiram Eldar, Jul 11 2020
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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]][[1]] (* T. D. Noe, May 03 2006 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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