login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Partial sums of A000594.
3

%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