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A116949 Riordan array ((1-x^3)/(1+2x^2),x).

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%I A116949 #13 Oct 17 2023 11:16:48
%S A116949 1,0,1,-2,0,1,-1,-2,0,1,4,-1,-2,0,1,2,4,-1,-2,0,1,-8,2,4,-1,-2,0,1,-4,
%T A116949 -8,2,4,-1,-2,0,1,16,-4,-8,2,4,-1,-2,0,1,8,16,-4,-8,2,4,-1,-2,0,1,-32,
%U A116949 8,16,-4,-8,2,4,-1,-2,0,1,-16,-32,8,16,-4,-8,2,4,-1,-2,0,1,64,-16,-32,8,16,-4,-8,2,4,-1,-2,0,1
%N A116949 Riordan array ((1-x^3)/(1+2x^2),x).
%C A116949 Sequence array of (-2)^(n/2)(1+(-1)^n)/2-(-2)^((n-3)/2)(1-(-1)^n)/2-(comb(1,n)-comb(0,n))/2.
%C A116949 Inverse of A116948.
%C A116949 Row sums are A117575. Diagonal sums are A117576.
%e A116949 Number triangle begins
%e A116949 1,
%e A116949 0, 1,
%e A116949 -2, 0, 1,
%e A116949 -1, -2, 0, 1,
%e A116949 4, -1, -2, 0, 1,
%e A116949 2, 4, -1, -2, 0, 1,
%e A116949 -8, 2, 4, -1, -2, 0, 1,
%e A116949 -4, -8, 2, 4, -1, -2, 0, 1,
%e A116949 16, -4, -8, 2, 4, -1, -2, 0, 1
%Y A116949 Cf. A117575, A117576, A116948.
%K A116949 easy,sign,tabl
%O A116949 0,4
%A A116949 _Paul Barry_, Mar 29 2006
%E A116949 Entry revised by _N. J. A. Sloane_, Apr 10 2006