A144248 - OEIS

%I #7 Jun 28 2014 09:33:02

%S 1,-23,229,-1243,3587,-2461,-19205,65275,-48368,-164288,370324,-620,

%T -578358,-176502,1040658,2027794,-4878140,-2150708,8510712,1400952,

%U -2818536,-15649224,2994048,24283008,-1216217,12649495,-60629585

%N Partial sums of A000594.

%C The subsequence of primes in the partial sum begins: a(2) = -23, a(3) = 229, no more through a(27). - _Jonathan Vos Post_, Feb 12 2010

%H Charles R Greathouse IV, <a href="/A144248/b144248.txt">Table of n, a(n) for n = 1..10000</a>

%t lst={};s1=0;Do[s1=s1+RamanujanTau[n];AppendTo[lst,s1],{n,5!}];lst

%o (PARI) a(n)=my(x='x, v=Vec( x * eta(x + x * O(x^(n-1)))^24)); sum(i=1,n,v[i]) \\ _Charles R Greathouse IV_, Jun 28 2014

%K sign

%O 1,2

%A _Vladimir Joseph Stephan Orlovsky_, Sep 16 2008