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 A144024 #5 Nov 20 2022 10:52:44 %S A144024 1,0,1,1,0,1,1,1,0,2,0,1,1,0,4,1,0,1,2,0,6,0,1,0,2,4,0,10,1,0,1,0,4,6, %T A144024 0,17,1,1,0,20,6,10,0,29,0,1,1,0,4,0,10,17,0,4,9,1,0,1,2,0,6,0,17,29, %U A144024 0,82 %N A144024 Eigentriangle by rows, T(n,k) = A005614(n-k+1)*A144023(k-1). %C A144024 Row sums = A144023, the INVERT transform of the rabbit sequence, A005614. %C A144024 Left border = A005614. %C A144024 Sum of n-th row terms = rightmost term of next row. %F A144024 Eigentriangle by rows, T(n,k) = A005614(n-k+1)*A144023(k-1). %F A144024 A005614 = the rabbit sequence, (1, 0, 1, 1, 0, 1, 0, 1,...) %F A144024 A144023(k-1) = A144023 shifted to (1, 1, 1, 2, 4, 6, 10, 17, 29,...). %e A144024 First few rows of the triangle = %e A144024 1; %e A144024 0, 1; %e A144024 1, 0, 1; %e A144024 1, 1, 0, 2; %e A144024 0, 1, 1, 0, 4; %e A144024 1, 0, 1, 2, 0, 6; %e A144024 0, 1, 0, 2, 4, 0, 10; %e A144024 1, 0, 1, 0, 4, 6, 0, 17; %e A144024 1, 1, 0, 2, 0, 6, 10, 0, 29; %e A144024 ...; %e A144024 Row 4 = (1, 1, 0, 2) = termwise product of (1, 1, 0, 1) and (1, 1, 1, 2); where (1, 1, 0, 1) = the first 4 terms of A005614 reversed. (1, 1, 1, 2) = the first 4 terms of shifted A144023. %Y A144024 Cf. A005614, A144023. %K A144024 nonn,tabl,more %O A144024 1,10 %A A144024 _Gary W. Adamson_, Sep 07 2008