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 A128414 Riordan array ((1-2x)/(1+2x),x/(1+2x)^2). 4

%I #7 Jan 18 2014 06:41:08

%S 1,-4,1,8,-8,1,-16,36,-12,1,32,-128,80,-16,1,-64,400,-400,140,-20,1,

%T 128,-1152,1680,-896,216,-24,1,-256,3136,-6272,4704,-1680,308,-28,1,

%U 512,-8192,21504,-21504,10560,-2816

%N Riordan array ((1-2x)/(1+2x),x/(1+2x)^2).

%C Inverse is A128417. Row sums are A128415. Diagonal sums are A128416.

%F T(n,k) = 2^(n-k)*A110162(n,k). - _Philippe Deléham_, Jan 18 2014

%F T(n,k) = T(n-1,k-1) - 4*T(n-1,k) - 4*T(n-2,k), T(0,0) = T(1,1) = T(2,2) = 1, T(1,0) = -4, T(2,0) = 8, T(2,1) = -8, T(n,k) = 0 if k<0 or if k>n. - _Philippe Deléham_, Jan 18 2014

%e Triangle begins

%e 1;

%e -4, 1;

%e 8, -8, 1;

%e -16, 36, -12, 1;

%e 32, -128, 80, -16, 1;

%e -64, 400, -400, 140, -20, 1;

%e 128, -1152, 1680, -896, 216, -24, 1;

%e -256, 3136, -6272, 4704, -1680, 308, -28, 1;

%e 512, -8192, 21504, -21504, 10560, -2816, 416, -32, 1;

%Y Cf. A128413.

%K easy,sign,tabl

%O 0,2

%A _Paul Barry_, Mar 02 2007

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Last modified October 4 22:44 EDT 2023. Contains 365888 sequences. (Running on oeis4.)