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A180010 Triangle T(n,k) read by rows. Matrix inverse of A180009. 1

%I

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

%T -1,0,-6,4,-2,1,-1,0,-1,0,11,-6,4,-3,1,-1,0,-1,1,-21,12,-7,5,-3,1,-1,

%U 0,-1,-1,35,-21,11,-7,4,-3,1,-1,0,-1,0,-56,34,-19,11,-6,4,-3,1,-1,0,-1,-1

%N Triangle T(n,k) read by rows. Matrix inverse of A180009.

%C First column is mu(n). It could perhaps be said that the Mobius function is an invariant under the modified divisibility recurrence together with matrix inversion.

%e Table begins:

%e 1,

%e -1,-1,

%e -1,0,-1,

%e 0,0,0,-1,

%e -1,1,-1,0,-1,

%e 1,-2,2,-1,0,-1,

%e -1,4,-3,1,-1,0,-1,

%e 0,-6,4,-2,1,-1,0,-1,

%e 0,11,-6,4,-3,1,-1,0,-1,

%e 1,-21,12,-7,5,-3,1,-1,0,-1,

%e -1,35,-21,11,-7,4,-3,1,-1,0,-1,

%e 0,-56,34,-19,11,-6,4,-3,1,-1,0,-1,

%e -1,100,-59,35,-21,11,-7,4,-3,1,-1,0,-1,

%Y Cf. A180009, A008683.

%K sign,tabl

%O 1,17

%A _Mats Granvik_, Aug 06 2010

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Last modified September 26 17:30 EDT 2021. Contains 347670 sequences. (Running on oeis4.)