A136790 - OEIS

%I #11 Jun 05 2023 07:03:41

%S 1,-1,2,4,-7,5,-7,32,-35,15,37,-131,228,-171,52,-94,646,-1379,1540,

%T -864,203,587,-3146,8648,-12483,10308,-4588,877,-1925,17464,-55125,

%U 98923,-106834,69951,-25717,4140,13606,-98053,367914,-781241,1044519,-898394,486811,-152169,21147

%N Triangle read by rows: A011971 * A007318^(-1).

%C Row sums = the Bell numbers, A000110: (1, 1, 2, 5, 15, 203, ...).

%C A136789 = A011971 * A130595. [Corrected by _Georg Fischer_, Jun 05 2023]

%F Product of the Aitken triangle (A011971) and the inverse of Pascal's Triangle (A007318).

%e First few rows of the triangle:

%e     1;

%e    -1,    2;

%e     4,   -7,     5;

%e    -7,   32,   -35,   15;

%e    37, -131,   228, -171,   52;

%e   -94,  646, -1379, 1540, -864, 203;

%e   ...

%Y Cf. A000110, A130595, A136789.

%K tabl,sign

%O 0,3

%A _Gary W. Adamson_, Jan 21 2008

%E a(28) = -1925 corrected by _Georg Fischer_, Jun 05 2023