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A137683 Triangle read by rows, A026794 * A007318^(-1). 0

%I #5 Apr 01 2022 21:39:03

%S 1,0,1,3,-2,1,1,4,-3,1,5,-3,6,-4,1,5,5,-9,10,-5,1,11,-6,16,-20,15,-6,

%T 1,10,12,-23,36,-35,21,-7,1,20,-5,27,-55,70,-56,28,-8,1,24,11,-31,81,

%U -125,126,-84,36,-9,1,38,-9,51,-123,211,-252,210,-120,45,-10,1

%N Triangle read by rows, A026794 * A007318^(-1).

%C Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, 22, ...).

%F As an infinite lower triangular matrix, A026794 * the inverse of Pascal's triangle.

%e First few rows of the triangle:

%e 1;

%e 0, 1;

%e 3, -2, 1;

%e 1, 4, -3, 1;

%e 5, -3, 6, -4, 1;

%e 5, 5, -9, 10, -5, 1;

%e ...

%e T(3,1) = -3 = (0, 0, 1, -3) dot (3, 1, 0, 1) = (0, 0, 0, -3).

%Y Cf. A000041, A026794.

%K tabl,sign

%O 0,4

%A _Gary W. Adamson_, Feb 05 2008

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)