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A117372 Riordan array (1-3x,x(1-x)). 2

%I #3 Mar 30 2012 18:59:14

%S 1,-3,1,0,-4,1,0,3,-5,1,0,0,7,-6,1,0,0,-3,12,-7,1,0,0,0,-10,18,-8,1,0,

%T 0,0,3,-22,25,-9,1,0,0,0,0,13,-40,33,-10,1,0,0,0,0,-3,35,-65,42,-11,1,

%U 0,0,0,0,0,-16,75,-98,52,-12,1

%N Riordan array (1-3x,x(1-x)).

%C Row sums are A117373. Diagonal sums are A117374. Inverse is A117375.

%F Number triangle T(n,k)=(-1)^(n-k)(C(k,n-k)+3*C(k, n-k-1))

%e Triangle begins

%e 1,

%e -3, 1,

%e 0, -4, 1,

%e 0, 3, -5, 1,

%e 0, 0, 7, -6, 1,

%e 0, 0, -3, 12, -7, 1,

%e 0, 0, 0, -10, 18, -8, 1,

%e 0, 0, 0, 3, -22, 25, -9, 1

%K easy,sign,tabl

%O 0,2

%A _Paul Barry_, Mar 10 2006

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Last modified September 17 20:00 EDT 2024. Contains 375990 sequences. (Running on oeis4.)