login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A048836
Decimal expansion of Sum_{n >= 2} (n / Product_{i=2..n} K(i)), where K(i) is the Kempner function A002034.
1
1, 7, 2, 8, 7, 5, 7, 6, 0, 5, 3, 0, 2, 2, 3, 4, 1, 2, 2, 4, 1, 1, 2, 7, 5, 2, 3, 0, 3, 8, 5, 3, 8, 7, 6, 7, 4, 5, 9, 6, 6, 0, 6, 7, 7, 9, 1, 4, 8, 5, 1, 3, 1, 0, 5, 2, 6, 6, 4, 7, 6, 9, 0, 5, 6, 3, 2, 4, 8, 6, 9, 5, 8, 8, 9, 3, 1, 3, 7, 2, 1, 7, 9, 7, 3, 8, 0, 4, 9, 7, 4, 6, 2, 5, 3, 7, 0, 1, 1, 9
OFFSET
1,2
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
1.72875760530223...
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(1, 200) \\ Franklin T. Adams-Watters, Apr 18 2006
CROSSREFS
Sequence in context: A259072 A107311 A363538 * A198673 A379556 A086236
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