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%I #2 Mar 30 2012 18:53:10
%S 1,-1,1,0,-1,1,-1,-1,3,1,-1,-1,6,3,1,-2,-1,15,7,3,1,-1,-1,31,15,7,3,1,
%T -2,-1,72,34,16,7,3,1,-2,-1,157,73,34,16,7,3,1,-2,-1,347,161,75,35,16,
%U 7,3,1,-1,-1,751,349,162,75,35,16,7,3,1,-2,-1,1645,763,354,164,76,35,16,7
%N Triangle T(n,k) read by rows. Matrix inverse of A180050.
%C At n>3, k=1 T(n,k)=A002321(n-1). It could perhaps be said that the Mertens function is an invariant under the recurrence in A180050 and matrix inversion.
%e Table begins:
%e 1,
%e -1,1,
%e 0,-1,1,
%e -1,-1,3,1,
%e -1,-1,6,3,1,
%e -2,-1,15,7,3,1,
%e -1,-1,31,15,7,3,1,
%e -2,-1,72,34,16,7,3,1,
%e -2,-1,157,73,34,16,7,3,1,
%e -2,-1,347,161,75,35,16,7,3,1,
%e -1,-1,751,349,162,75,35,16,7,3,1,
%e -2,-1,1645,763,354,164,76,35,16,7,3,1,
%e -2,-1,3553,1646,763,354,164,76,35,16,7,3,1,
%e -3,-1,7720,3576,1657,768,356,165,76,35,16,7,3,1,
%Y Cf. A002321, A180050.
%K sign,tabl
%O 1,9
%A _Mats Granvik_, Aug 08 2010
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