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A117336 Column 1 of triangle A117335. 4

%I #3 Mar 30 2012 18:36:56

%S 0,1,-1,6,-27,164,-1133,8930,-78739,768276,-8221025,95775678,

%T -1207356591,16381797128,-238127430413,3693030808322,-60880099651291,

%U 1063264668030924,-19614400226382041,381146295159812646,-7782393142569110535,166592263396576831760

%N Column 1 of triangle A117335.

%F a(n) = Sum_{k=0..n} (-1)^(k+1)*A104981(k).

%o (PARI) {a(n)=if(n<1,0,(vector(n+1,k,(-1)^k)*matrix(n+1,n+1,m,j,if(m==j,1,if(m==j+1,-m+1, -polcoeff((1-1/sum(i=0,m,i!*x^i))/x+O(x^m),m-j-1))))^-1)[2])}

%Y Cf. A104981, A117335 (triangle), A117337 (column 2), A117338 (row sums).

%K sign

%O 0,4

%A _Paul D. Hanna_, Mar 09 2006

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Last modified April 24 17:10 EDT 2024. Contains 371962 sequences. (Running on oeis4.)