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A048837
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Decimal expansion of Sum_{n >= 2} (n^2 / Product_{i=2..n} K(i)), where K(i) is the Kempner function A002034.
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1
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4, 5, 0, 2, 5, 1, 2, 0, 0, 6, 1, 9, 2, 9, 6, 9, 7, 0, 6, 9, 3, 4, 0, 7, 7, 2, 7, 4, 8, 3, 2, 4, 4, 5, 6, 4, 1, 9, 7, 6, 5, 1, 3, 1, 4, 7, 4, 6, 9, 1, 3, 3, 3, 0, 4, 1, 1, 8, 9, 8, 7, 5, 3, 6, 5, 2, 8, 0, 8, 5, 2, 7, 0, 1, 5, 5, 0, 1, 1, 0, 6, 6, 7, 3, 1, 1, 1, 5, 6, 3, 9, 5, 2, 2, 5, 6, 2, 3, 1, 3
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OFFSET
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1,1
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REFERENCES
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I. Cojocaru, S. Cojocaru, The Third and Fourth Constants of Smarandache, Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, 121-126.
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LINKS
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EXAMPLE
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4.5025120061929697...
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PROG
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(PARI) S(n)=local(m); if(isprime(n), n, m=1; while(m!%n!=0, m++); m S4(a, k)=local(v, i, p, y); v=vector(k, i, S(i)); p=1; y=0.; for(i=2, k, p*=v[i]; y+=i^a/p); y S4(2, 200) \\ Franklin T. Adams-Watters, Apr 18 2006
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CROSSREFS
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KEYWORD
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AUTHOR
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Charles T. Le (charlestle(AT)yahoo.com)
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EXTENSIONS
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STATUS
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approved
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