This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A201614 #15 Nov 16 2020 03:39:20 %S A201614 3,9,6,4,7,8,4,0,0,1,7,6,7,2,8,8,0,1,3,2,0,3,7,7,2,1,9,5,4,9,1,4,5,0, %T A201614 1,3,1,1,7,8,3,7,6,1,4,2,2,1,9,0,4,1,8,5,1,5,8,6,6,3,8,8,9,5,4,4,0,1, %U A201614 0,8,7,8,0,8,5,0,8,7,7,9,9,7,0,3,9,5,5,5,9,1,1,1,0,5,2,9,9,2,9,0,2,5,5,9,8 %N A201614 Decimal expansion of Sum_{n = 1 .. infinity } (-1)^(n+1)/ prime(n)^n. %e A201614 0.39647840017672880132037721... = 1/2^1 - 1/3^2 + 1/5^3 - 1/7^4 + ... %p A201614 with(numtheory): Digits:=105:s:=sum( evalf(((-1)^(n+1))/ ithprime(n)^n),n=1..200):print(s): %t A201614 digits = 105; NSum[(-1)^(n+1)/Prime[n//Round]^n, {n, 1, Infinity}, Method -> "AlternatingSigns", WorkingPrecision -> digits, NSumTerms -> digits] // RealDigits[#, 10, digits]& // First (* _Jean-François Alcover_, Feb 24 2014 *) %Y A201614 Cf. A062457, A093358. %K A201614 nonn,cons %O A201614 0,1 %A A201614 _Michel Lagneau_, Dec 03 2011