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Triangle read by rows: A007318^(-1) * A128540.
2

%I #8 Jun 01 2023 15:37:11

%S 1,0,1,-1,0,2,2,-3,-3,3,-3,8,0,-7,5,4,-15,10,5,-17,8,-5,24,-30,15,27,

%T -35,13,6,-35,63,-70,-7,77,-70,21,-7,48,-112,182,-98,-84,196,-134,34,

%U 8,-63,180,-378,378,-84,-336,450,-251,55,-9,80,-270,690,-966,714,210,-990,980,-461,89

%N Triangle read by rows: A007318^(-1) * A128540.

%C Row sums = A128587: (1, 1, 1, -1, 3, -5, 9, -15, 25, -41, ...).

%F Inverse binomial transform of A128540.

%F Matrix product A130595 * A128540. - _Georg Fischer_, Jun 01 2023

%e First few rows of the triangle:

%e 1;

%e 0, 1;

%e -1, 0, 2;

%e 2, -3, -3, 3;

%e -3, 8, 0, -7, 5;

%e 4, -15, 10, 5, -17, 8;

%e ...

%Y Cf. A007318, A128540, A128587, A128588, A130595.

%K tabl,sign

%O 1,6

%A _Gary W. Adamson_, Mar 11 2007

%E a(33) corrected, a(42)=-84 inserted and more terms from _Georg Fischer_, Jun 01 2023