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%I #15 Oct 02 2022 17:44:08
%S 1,-1,2,-2,3,-2,1,4,-10,22,-36,56,-72,84,-71,22,99,-311,654,-1122,
%T 1702,-2267,2611,-2312,795,2789,-9352,19802,-34442,52436,-70521,81869,
%U -74248,29099,79012,-279732,600894,-1054809,1616669,-2190772,2567994
%N Eigensequence for the Moebius mu triangle A152904.
%C First column of the inverse of the number triangle T(n,k)=if(k<n, -A152904(n-1,k), if(k=n,1,0)).
%H Reinhard Zumkeller, <a href="/A185694/b185694.txt">Table of n, a(n) for n = 0..1000</a>
%F G.f.: 1 / (1 + Sum_{k>=1} mu(k)*x^k). - _Ilya Gutkovskiy_, Oct 02 2022
%o (Haskell)
%o a185694 n = a185694_list !! (n-1)
%o a185694_list = 1 : f [1] where
%o f xs = y : f (y : xs) where
%o y = sum $ zipWith (*) xs $ map negate a008683_list
%o -- _Reinhard Zumkeller_, Nov 03 2015
%Y Cf. A008683, A073776.
%K sign
%O 0,3
%A _Paul Barry_, Feb 10 2011
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