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Product_{n>=1} (1 + a(n)*x^n) = 1 + Sum_{n>=1} x^prime(n).
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%I #9 Dec 28 2022 08:44:14

%S 0,1,1,0,0,0,1,0,-1,-1,2,1,0,-2,0,1,3,-2,-1,0,4,0,-1,-4,6,2,2,-10,4,4,

%T 13,-15,-7,-2,30,-7,-7,-33,42,8,16,-70,27,22,95,-116,-21,-39,223,-61,

%U -48,-261,326,51,129,-581,242,109,752,-932,-105,-330,1806,-612,-240,-2140,2750,227,1245,-4865

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

%H Seiichi Manyama, <a href="/A348128/b348128.txt">Table of n, a(n) for n = 1..1000</a>

%Y Cf. A000040, A002121, A010051, A030010, A147557, A305871, A305882, A308298, A328777, A348127.

%K sign

%O 1,11

%A _Ilya Gutkovskiy_, Oct 01 2021