cp's OEIS Frontend

A110314 Inverse of number triangle related to Fibonacci numbers.

%I A110314 #3 Mar 30 2012 18:59:09
%S A110314 1,-1,1,-2,-2,1,0,-6,-3,1,0,0,-12,-4,1,0,0,0,-20,-5,1,0,0,0,0,-30,-6,
%T A110314 1,0,0,0,0,0,-42,-7,1,0,0,0,0,0,0,-56,-8,1,0,0,0,0,0,0,0,-72,-9,1,0,0,
%U A110314 0,0,0,0,0,0,-90,-10,1,0,0,0,0,0,0,0,0,0,-110,-11,1,0,0,0,0,0,0,0,0,0,0,-132,-12,1
%N A110314 Inverse of number triangle related to Fibonacci numbers.
%C A110314 Row sums are 1-n^2 with g.f. (1-3x)/(1-x)^3. Diagonal sums are A110315. Inverse of A039948.
%F A110314 T(n, k)=if(n=k, 1, if(n-k=1, -binomial(n, 1), if(n-k=2, -2*binomial(n, 2), 0)))
%e A110314 Rows begin
%e A110314 1;
%e A110314 -1,1;
%e A110314 -2,-2,1;
%e A110314 0,-6,-3,1;
%e A110314 0,0,-12,-4,1;
%e A110314 0,0,0,-20,-5,1;
%e A110314 0,0,0,0,-30,-6,1;
%K A110314 easy,sign,tabl
%O A110314 0,4
%A A110314 _Paul Barry_, Jul 19 2005