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%I #10 Feb 06 2019 16:35:26
%S 2,1,3,1,9,-3,3,3,15,-5,17,-9,-5,21,3,-3,33,-25,-1,19,11,-11,25,11,
%T -23,15,25,-25,35,-29,-25,51,43,-59,79,-51,-93,109,79,-73,205,-197,
%U -189,83,-29,153,139,-223,-95,-193,41,371,125,-223,-177,-151,49,409,101
%N {a(k)} is such that, for every positive integer n, the n-th prime = Sum_{k=1..n, gcd(k,n+1)=1} a(k).
%H Rémy Sigrist, <a href="/A126761/b126761.txt">Table of n, a(n) for n = 1..10000</a>
%H Rémy Sigrist, <a href="/A126761/a126761.gp.txt">PARI program for A126761</a>
%e 31 is the 11th prime. So 31 = Sum_{1<=k<=11, gcd(k,12)=1} a(k) = a(1) + a(5) + a(7) + a(11) = 2 + 9 + 3 + 17.
%o (PARI) See Links section.
%Y Cf. A000040.
%K sign
%O 1,1
%A _Leroy Quet_, Feb 22 2007
%E More terms from _Rémy Sigrist_, Feb 06 2019
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