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A188317 Riordan array, inverse of (1/(1-x^2), x/((1-x)*(1-x^2))). 1

%I #7 Mar 30 2012 18:59:29

%S 1,0,1,-1,-1,1,2,-1,-2,1,-1,6,0,-3,1,-6,-10,10,2,-4,1,20,-4,-26,13,5,

%T -5,1,-22,63,14,-49,14,9,-6,1,-49,-148,112,58,-78,12,14,-7,1,260,45,

%U -396,144,138,-111,6,20,-8,1,-441,755,435,-789,123,263,-145,-5,27,-9,1

%N Riordan array, inverse of (1/(1-x^2), x/((1-x)*(1-x^2))).

%C Inverse of number triangle A188316.

%e Triangle begins

%e 1,

%e 0, 1,

%e -1, -1, 1,

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

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

%e -6, -10, 10, 2, -4, 1,

%e 20, -4, -26, 13, 5, -5, 1,

%e -22, 63, 14, -49, 14, 9, -6, 1,

%e -49, -148, 112, 58, -78, 12, 14, -7, 1,

%e 260, 45, -396, 144, 138, -111, 6, 20, -8, 1

%e Production matrix begins

%e 0, 1,

%e -1, -1, 1,

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

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

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

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

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

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

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

%K sign,tabl

%O 0,7

%A _Paul Barry_, Mar 28 2011

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Last modified April 23 06:58 EDT 2024. Contains 371906 sequences. (Running on oeis4.)