cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A137683 #5 Apr 01 2022 21:39:03
%S A137683 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 A137683 1,10,12,-23,36,-35,21,-7,1,20,-5,27,-55,70,-56,28,-8,1,24,11,-31,81,
%U A137683 -125,126,-84,36,-9,1,38,-9,51,-123,211,-252,210,-120,45,-10,1
%N A137683 Triangle read by rows, A026794 * A007318^(-1).
%C A137683 Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, 22, ...).
%F A137683 As an infinite lower triangular matrix, A026794 * the inverse of Pascal's triangle.
%e A137683 First few rows of the triangle:
%e A137683   1;
%e A137683   0,  1;
%e A137683   3, -2,  1;
%e A137683   1,  4, -3,  1;
%e A137683   5, -3,  6, -4,  1;
%e A137683   5,  5, -9, 10, -5, 1;
%e A137683   ...
%e A137683 T(3,1) = -3 = (0, 0, 1, -3) dot (3, 1, 0, 1) = (0, 0, 0, -3).
%Y A137683 Cf. A000041, A026794.
%K A137683 tabl,sign
%O A137683 0,4
%A A137683 _Gary W. Adamson_, Feb 05 2008