A048838 Decimal expansion of Sum_{n >= 2} (n^3 / Product_{i=2..n} K(i)), where K(i) is the Kempner function A002034.

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

Table of n, a(n) for n=2..101.

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

Adjacent sequences: A048835 A048836 A048837 * A048839 A048840 A048841

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