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 A160760 #14 Oct 08 2021 16:11:51 %S A160760 1,1,1,3,2,1,9,5,3,1,27,14,8,4,1,81,41,22,12,5,1,243,122,63,34,17,6,1, %T A160760 729,365,185,97,51,23,7,1,2187,1094,550,282,148,74,30,8,1,6561,3281, %U A160760 1644,832,430,222,104,38,9,1 %N A160760 Triangle read by rows, binomial transform of an infinite lower triangular Toeplitz matrix with A078008 in every column. %C A160760 Row sums = A025192: (1, 2, 6, 18, 54, 162, 486, 1458,...). %C A160760 A triangle formed like Pascal's triangle, but with 3^n for n>=0 on the left border instead of 1. - _Boris Putievskiy_, Aug 19 2013 %F A160760 A007318 * an infinite lower triangular Toeplitz matrix with A078008 in every column: (1, 0, 2, 2, 6, 10, 22, 42, 86,...). %F A160760 Closed-form formula for arbitrary left and right borders of Pascal like triangle see A228196. - _Boris Putievskiy_, Aug 19 2013 %e A160760 First few rows of the triangle = %e A160760 1; %e A160760 1, 1; %e A160760 3, 2, 1; %e A160760 9, 5, 3, 1; %e A160760 27, 14, 8, 4, 1; %e A160760 81, 41, 22, 12, 5, 1; %e A160760 243, 122, 63, 34, 17, 6, 1; %e A160760 729, 365, 185, 97, 51, 23, 7, 1; %e A160760 2187, 1094, 550, 282, 148, 74, 30, 8, 1; %e A160760 6561, 3281, 1644, 832, 430, 222, 104, 38, 9, 1; %e A160760 ... %Y A160760 Cf. A078008, A025192. %K A160760 nonn,tabl %O A160760 0,4 %A A160760 _Gary W. Adamson_, May 25 2009 %E A160760 T(7,4) corrected by _Georg Fischer_, Oct 08 2021