%I #14 May 27 2023 16:34:11

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

%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)^2.

%F Equals Sum_{n>=1} A000217(n)/A007504(n)^2. - _R. J. Mathar_, Dec 07 2014

%e 0.53699391743...

%t Module[{nn=10^6},RealDigits[Total[Accumulate[Range[nn]]/Accumulate[Prime[Range[nn]]]^2],10,30][[1]]] (* Gives the first 7 terms correctly. To generate more, increase the value of nn. *) (* _Harvey P. Dale_, May 27 2023 *)

%Y Cf. A000217, A007504.

%K nonn,cons,more

%O 0,1

%A _Pierre CAMI_, Sep 04 2004

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

%E a(8)-a(11) from _Jinyuan Wang_, Jul 02 2022