cp's OEIS Frontend

A128210 Number triangle T(n,k) = (-1)^(n-k)*[k<=n]*Product_{i=k+1..n} Sum_{j=0..i-1} A078008(j-1).

%I A128210 #10 Mar 31 2024 17:26:41
%S A128210 1,-1,1,1,-1,1,-3,3,-3,1,15,-15,15,-5,1,-165,165,-165,55,-11,1,3465,
%T A128210 -3465,3465,-1155,231,-21,1,-148995,148995,-148995,49665,-9933,903,
%U A128210 -43,1,12664575,-12664575,12664575
%N A128210 Number triangle T(n,k) = (-1)^(n-k)*[k<=n]*Product_{i=k+1..n} Sum_{j=0..i-1} A078008(j-1).
%C A128210 Inverse is A128208. Subdiagonals include -A001045(n+1) and A084175(n+1).
%e A128210 Triangle begins:
%e A128210         1;
%e A128210        -1,      1;
%e A128210         1,     -1,       1;
%e A128210        -3,      3,      -3,     1;
%e A128210        15,    -15,      15,    -5,     1;
%e A128210      -165,    165,    -165,    55,   -11,   1;
%e A128210      3465,  -3465,    3465, -1155,   231, -21,   1;
%e A128210   -148995, 148995, -148995, 49665, -9933, 903, -43, 1;
%e A128210   ...
%K A128210 easy,sign,tabl
%O A128210 0,7
%A A128210 _Paul Barry_, Feb 19 2007