A144248 Partial sums of A000594.

1, -23, 229, -1243, 3587, -2461, -19205, 65275, -48368, -164288, 370324, -620, -578358, -176502, 1040658, 2027794, -4878140, -2150708, 8510712, 1400952, -2818536, -15649224, 2994048, 24283008, -1216217, 12649495, -60629585, -35982417, 92424213, 63212373, 10369205

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Sep 16 2008

Keywords

• sign

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000594.

Programs

Mathematica

lst={};s1=0;Do[s1=s1+RamanujanTau[n];AppendTo[lst,s1],{n,5!}];lst
Accumulate[Array[RamanujanTau, 30]] (* Amiram Eldar, Jan 08 2025 *)

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