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A117377 Riordan array (1-4x,x(1-x)). 3

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

%S 1,-4,1,0,-5,1,0,4,-6,1,0,0,9,-7,1,0,0,-4,15,-8,1,0,0,0,-13,22,-9,1,0,

%T 0,0,4,-28,30,-10,1,0,0,0,0,17,-50,39,-11,1,0,0,0,0,-4,45,-80,49,-12,

%U 1,0,0,0,0,0,-21,95,-119,60,-13,1

%N Riordan array (1-4x,x(1-x)).

%C Row sums are A117378. Diagonal sums are A117379. Inverse is A117380.

%F Number triangle T(n,k)=(-1)^(n-k)(C(k,n-k)+4*C(k, n-k-1))

%e Triangle begins

%e 1,

%e -4, 1,

%e 0, -5, 1,

%e 0, 4, -6, 1,

%e 0, 0, 9, -7, 1,

%e 0, 0, -4, 15, -8, 1,

%e 0, 0, 0, -13, 22, -9, 1,

%e 0, 0, 0, 4, -28, 30, -10, 1

%K easy,sign,tabl

%O 0,2

%A _Paul Barry_, Mar 10 2006

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)