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A048838
Decimal expansion of Sum_{n >= 2} (n^3 / Product_{i=2..n} K(i)), where K(i) is the Kempner function A002034.
1
1, 3, 0, 1, 1, 1, 4, 4, 1, 9, 4, 9, 4, 4, 5, 2, 3, 5, 8, 0, 0, 8, 2, 0, 7, 8, 6, 3, 6, 4, 0, 2, 7, 7, 1, 0, 1, 4, 4, 7, 6, 8, 8, 9, 7, 7, 3, 6, 8, 0, 6, 4, 7, 8, 1, 3, 2, 5, 3, 1, 3, 5, 1, 4, 8, 9, 2, 9, 3, 0, 6, 6, 7, 6, 7, 6, 7, 5, 9, 8, 5, 6, 9, 2, 2, 8, 4, 0, 7, 7, 9, 4, 5, 7, 7, 4, 9, 2, 8, 7
OFFSET
2,2
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
Eric Weisstein's World of Mathematics, Smarandache Constants
EXAMPLE
13.0111441949445...
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(3, 200) \\ Franklin T. Adams-Watters, Apr 18 2006
CROSSREFS
Sequence in context: A056614 A126309 A338940 * A181872 A239264 A294289
KEYWORD
nonn,cons
AUTHOR
Charles T. Le (charlestle(AT)yahoo.com)
EXTENSIONS
More terms from Franklin T. Adams-Watters, Apr 18 2006
Name corrected by Sean A. Irvine, Jul 10 2021
STATUS
approved