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Triangle, row sums = Fibonacci numbers in two ways, companion to A124801.
1

%I #3 Mar 30 2012 17:25:14

%S 1,1,1,1,3,-1,1,6,-4,2,1,10,-10,10,-3,1,15,-20,30,-18,5,1,21,-35,70,

%T -63,35,-8,1,28,-56,140,-168,140,-64,13

%N Triangle, row sums = Fibonacci numbers in two ways, companion to A124801.

%C Row sums (signed) = Fn; row sums unsigned = F(2n-3).

%F Delete the "zero" column of A124801.

%e First few rows of the triangle are:

%e 1;

%e 1, 1;

%e 1, 3, -1;

%e 1, 6, -4, 2;

%e 1, 10, -10, 10, -3;

%e 1, 15, -20, 30, -18, 5;

%e 1, 21, -35, 70, -63, 35, -8;

%e 1, 28, -56, 140, -168, 140, -64, 13;

%e Example: row 7 signed = F7 = 13 = (1 + 15 - 20 + 30 - 18 + 5).

%e Row 7 unsigned = F(2n+3) = F11 = (1 + 15 + 20 + 30 + 18 + 5)

%Y Cf. A124801, A039834.

%K tabl,sign

%O 2,5

%A _Gary W. Adamson_, Nov 08 2006