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A048837 Decimal expansion of fourth Smarandache constant (a=2). 1
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 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,1

REFERENCES

I. Cojocaru, S. Cojocaru, The Third and Fourth Constants of Smarandache, Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, 121-126.

LINKS

M. L. Perez et al., eds., Smarandache Notions Journal

Eric Weisstein's World of Mathematics, Smarandache Constants

FORMULA

Sum_{n >= 2} (n^2/Product_{i >= 2} S(i)), where S(n) is the Kempner-Smarandache function A002034.

EXAMPLE

Constant=4.50251200619297...

PROG

(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) - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Apr 18 2006

CROSSREFS

Sequence in context: A200619 A199621 A199390 * A087492 A199967 A021226

Adjacent sequences:  A048834 A048835 A048836 * A048838 A048839 A048840

KEYWORD

nonn,cons

AUTHOR

Charles T. Le (charlestle(AT)yahoo.com)

EXTENSIONS

More terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), Apr 18 2006

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.