A048837 Decimal expansion of Sum_{n >= 2} (n^2 / Product_{i=2..n} K(i)), where K(i) is the Kempner function A002034.

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

Offset: 1

Author

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

Keywords

• nonn
• cons

Examples

			4.5025120061929697...
		

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

Programs

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

Extensions

More terms from Franklin T. Adams-Watters, Apr 18 2006

Name corrected by Sean A. Irvine, Jul 10 2021