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Signed variant of A077012.
1

%I #7 Jul 12 2015 15:48:58

%S 1,-1,2,2,-3,6,-6,8,-12,24,24,-30,40,-60,120,-120,144,-180,240,-360,

%T 720,720,-840,1008,-1260,1680,-2520,5040,-5040,5760,-6720,8064,-10080,

%U 13440,-20160,40320,40320,-45360,51840,-60480,72576,-90720,120960,-181440,362880,-362880,403200,-453600,518400,-604800

%N Signed variant of A077012.

%C Row sums give A024167.

%F a[n, k]= -(-1)^(n-k+1) n/(n-k+1)(n-1)!

%F E.g.f.: log(1+x)/(1-y*x). - _Vladeta Jovovic_, Feb 07 2003

%e Triangle starts {1}, {-1, 2}, {2, -3, 6}, {-6, 8, -12, 24}, {24, -30, 40, -60, 120}, ...

%t Table[Table[ -(-1)^(n-k+1) n/(n-k+1), {k, 1, n}] (n-1)!, {n, 1, 12}]

%Y Cf. A077012, A078922, A000254.

%K easy,sign,tabl

%O 1,3

%A _Wouter Meeussen_, Dec 14 2002