A116949 - OEIS

%I #13 Oct 17 2023 11:16:48

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

%C 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 Inverse of A116948.

%C Row sums are A117575. Diagonal sums are A117576.

%e Number triangle begins

%e 1,

%e 0, 1,

%e -2, 0, 1,

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

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

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

%e -8, 2, 4, -1, -2, 0, 1,

%e -4, -8, 2, 4, -1, -2, 0, 1,

%e 16, -4, -8, 2, 4, -1, -2, 0, 1

%Y Cf. A117575, A117576, A116948.

%K easy,sign,tabl

%O 0,4

%A _Paul Barry_, Mar 29 2006

%E Entry revised by _N. J. A. Sloane_, Apr 10 2006