A124842 - OEIS

%I #8 Apr 25 2016 13:18:26

%S 1,1,-1,1,-2,2,1,-3,6,-3,1,-4,12,-12,3,1,-5,20,-30,15,0,1,-6,30,-60,

%T 45,0,-10,1,-7,42,-105,105,0,-70,35,1,-8,56,-168,210,0,-280,280,-90

%N Triangle, row sums = A005614, the rabbit sequence.

%F Binomial transform of the infinite matrix with the diagonalized sequence A124841.

%e First few rows of the triangle are:

%e 1;

%e 1, -1;

%e 1, -2, 2;

%e 1, -3, 6, -3;

%e 1, -4, 12, -12, 3;

%e 1, -5, 20, -30, 15, 0;

%e 1, -6, 30, -60, 45, 0, -10;

%e ...

%e 4th term of the rabbit sequence (1, 0, 1, 1, 0...) = 1 = sum of row 4 terms: (1, - 3 + 6 - 3).

%Y Cf. A124841.

%K sign,tabl

%O 1,5

%A _Gary W. Adamson_, Nov 10 2006