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Triangle read by rows: A007318^(-1) * A128541.
0

%I #8 Jun 01 2023 14:56:01

%S 1,0,1,-1,-1,2,2,0,-4,3,-3,2,4,-9,5,4,-5,0,15,-20,8,-5,9,-10,-15,45,

%T -40,13,6,-14,28,0,-70,112,-78,21,-7,20,-56,42,70,-224,260,-147,34,8,

%U -27,96,-126,0,336,-624,567,-272,55,-9,35,-150,270,-210,-336,1170,-1575,1190,-495,89

%N Triangle read by rows: A007318^(-1) * A128541.

%C Row sums = A039834: (1, 1, 0, -1, 2, -3, 5, -8, ...); binomial transform of A039834 = (1, 2, 3, 5, 8, 13, 21, ...).

%F Inverse binomial transform of A128541.

%F Matrix product A130595 * A128541. - _Georg Fischer_, Jun 01 2023

%e First few rows of the triangle

%e 1;

%e 0, 1;

%e -1, -1, 2;

%e 2, 0, -4, 3;

%e -3, 2, 4, -9, 5;

%e 4, -5, 0, 15, -20, 8;

%e ...

%Y Cf. A007318, A039834, A128541, A130595.

%K tabl,sign

%O 1,6

%A _Gary W. Adamson_, Mar 11 2007

%E a(35) corrected and more terms from _Georg Fischer_, Jun 01 2023