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.
%I A146024 #5 Jun 02 2025 00:42:12 %S A146024 1,2,-1,5,-2,-1,10,-5,-2,0,20,-10,-5,0,0,36,-20,-10,0,0,1,65,-36,-20, %T A146024 0,0,2,0,1,1,0,110,-65,-36,0,0,5,0,1,185,-110,-65,0,0,110,0,2,0,300, %U A146024 -185,-110,0,0,20,0,5,0,0 %N A146024 Triangle read by rows, A146023 convolved with A010815. %C A146024 Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11,...). %F A146024 Triangle read by rows, A146023 * (A010815 * 0^(n-k)); 0<=k<=1. %F A146024 Triangle A146023 has A000712 in every column. %F A146024 (A010815 * 0^(n-k)) = an infinite lower triangular mtrix with A010815 as the right border and the rest zeros. %F A146024 The operation A146023 * (A010815 * 0^(n-k)) convolves sequence A000712 with A010815. %e A146024 First few rows of the triangle = %e A146024 1; %e A146024 2, -1; %e A146024 5, -2, -1; %e A146024 10, -5, -2, 0; %e A146024 20, -10, -5, 0, 0; %e A146024 36, -20, -10, 0, 0, 1; %e A146024 65, -36, -20, 0, 0, 2, 0; %e A146024 110, -65, -36, 0, 0, 5, 0, 1; %e A146024 ... %Y A146024 A146023, Cf. A000712, A000041 %K A146024 tabl,sign %O A146024 0,2 %A A146024 _Gary W. Adamson_, Oct 26 2008