A097909 - OEIS

%I #23 Oct 31 2022 04:53:47

%S 0,6,8,0,5,5,9,4,0,8,1,5,2,5,7,5,6,9,3,2,6,3,1,3,6,5,1,5,1,0,0

%N Decimal expansion of Sum_{i >= 1} t(i)/g(i), where t(i) = triangular number(i) and g(i) = (sum of first i primes)^4.

%F Equals Sum_{n>=1} A000217(n)/A007504(n)^4. - _R. J. Mathar_, Dec 07 2014

%e 0.0680559408152575...

%t p = s = 0; Do[p += Prime[n]; k = n*(n+1)/2; s += k/p^4; Print[N[s, 50]], {n, 10^6}] (* _Ryan Propper_, Jul 22 2006 *)

%Y Cf. A000217, A007504.

%K cons,more,nonn

%O 0,2

%A _Pierre CAMI_, Sep 04 2004

%E Corrected and extended by _Ryan Propper_, Jul 22 2006

%E Offset corrected by _R. J. Mathar_, Jan 31 2009

%E Unproven and apparently incorrect term a(31) deleted by _Jon E. Schoenfield_, Oct 30 2022