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A117166 Column 1 of triangle A117165 of Shift-Moebius coefficients and so equals the Shift-Moebius transform of [1,0,0,0,...]. 7

%I #9 May 31 2013 18:56:37

%S 1,-1,-2,-1,-2,1,-1,3,0,4,4,5,1,7,6,5,4,6,3,5,3,2,5,-3,-5,-1,2,-7,-6,

%T -13,-9,-14,-12,-22,-12,-25,-23,-26,-21,-35,-27,-38,-27,-43,-32,-47,

%U -34,-51,-46,-52,-33,-53,-35,-58,-41,-56,-39,-54,-39,-61,-45,-53,-24,-46,-23,-44,-20,-41,-14,-32,-12,-22

%N Column 1 of triangle A117165 of Shift-Moebius coefficients and so equals the Shift-Moebius transform of [1,0,0,0,...].

%C Equals the self-convolution inverse of A117161, which is the limit of columns of triangle A112682.

%o (PARI) {a(n)=prod(i=0,n, matrix(n,n,r,c,if(r>=c,if((r+n-i)%(c+n-i)==0,moebius((r+n-i)/(c+n-i)),0))))[ n,1]}

%Y Cf. A117165 (triangle), A117167 (column 2), A117168 (column 3), A117169 (row sums), A117161 (inverse), A117160, A112682.

%K sign

%O 1,3

%A _Wouter Meeussen_ and _Paul D. Hanna_, Mar 05 2006

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Last modified April 24 03:00 EDT 2024. Contains 371917 sequences. (Running on oeis4.)