A061151 - OEIS

%I #15 Oct 29 2023 09:46:00

%S 1,-2,0,-3,5,-3,14,-4,25,-32,16,-88,18,-155,108,-153,393,-88,855,-160,

%T 1255,-974,1122,-3172,370,-6794,383,-10017,5004,-9460,19380,-2635,

%U 45790,5008,76263,-7353,87597,-77967,48886,-244397,-45016,-500016,-115318,-734277,56213,-710603,810177,-161662,2432173,910752,4767086

%N 1 + Sum_{n>=1} a_n x^n = 1/Product_{n>=1} (1+x^n)^prime(n).

%H Seiichi Manyama, <a href="/A061151/b061151.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = (1/n) * Sum_{k=1..n} a(n-k)*b(k), k>0, a(0)=1, b(k)=Sum_{d|k} (-1)^(k/d)*d*prime(d).

%Y Cf. A007441, A007445, A030009, A061150, A061152.

%K easy,sign

%O 0,2

%A _Vladeta Jovovic_, Apr 16 2001