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 A119836 Bi-diagonal inverse of [k<=n]*n!/(2k)!. 1

%I

%S 1,-2,2,0,-24,12,0,0,-360,120,0,0,0,-6720,1680,0,0,0,0,-151200,30240,

%T 0,0,0,0,0,-3991680,665280,0,0,0,0,0,0,-121080960,17297280,0,0,0,0,0,

%U 0,0,-4151347200,518918400,0,0,0,0,0,0,0,0,-158789030400,17643225600,0,0,0,0,0,0,0,0,0,-6704425728000,670442572800

%N Bi-diagonal inverse of [k<=n]*n!/(2k)!.

%C Row sums are A119837. T(n,n)=A001813(n). T(n,n-1)=2*A001814(n)

%F Triangle T(n,n)=(2n)!/n!,T(n,n-1)=(2n)!/(n-1)!,T(n,k)=0 otherwise.

%e Triangle begins

%e 1,

%e -2, 2,

%e 0, -24, 12,

%e 0, 0, -360, 120,

%e 0, 0, 0, -6720, 1680,

%e 0, 0, 0, 0, -151200, 30240,

%e 0, 0, 0, 0, 0, -3991680, 665280,

%e 0, 0, 0, 0, 0, 0, -121080960, 17297280,

%e 0, 0, 0, 0, 0, 0, 0, -4151347200, 518918400,

%e 0, 0, 0, 0, 0, 0, 0, 0, -158789030400, 17643225600,

%e 0, 0, 0, 0, 0, 0, 0, 0, 0, -6704425728000, 670442572800

%K easy,sign,tabl

%O 0,2

%A _Paul Barry_, May 25 2006

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Last modified March 31 21:40 EDT 2023. Contains 361673 sequences. (Running on oeis4.)