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 A230435 #28 Dec 20 2023 09:59:49
%S A230435 1,2,5,4,10,19,8,20,38,65,16,40,76,130,211,32,80,152,260,422,665,64,
%T A230435 160,304,520,844,1330,2059,128,320,608,1040,1688,2660,4118,6305,256,
%U A230435 640,1216,2080,3376,5320,8236,12610,19171
%N A230435 Triangle by rows, A001047 convolved with A000079.
%C A230435 Generated from Running Total of each row of A036561.
%C A230435 Left edge is A000079 (offset 0): (1, 2, 4, 8, 16, 32, 64, ...)
%C A230435 Right edge is A001047 (offset 1): (1, 5, 19, 65, 211, 665, ...)
%C A230435 Row sums are A066810 (offset 2): (1, 7, 33, 131, 473, 1611, ...)
%F A230435 T(n,k) = Sum_{j=0..k} 3^j*2^(n-j). - _Detlef Meya_, Dec 20 2023
%F A230435 T(n,k) = 2^n*(3*(3/2)^k-2). - _Alois P. Heinz_, Dec 20 2023
%e A230435 The start of the sequence as a triangle read by rows:
%e A230435 1;
%e A230435 2, 5;
%e A230435 4, 10, 19;
%e A230435 8, 20, 38, 65;
%e A230435 16, 40, 76, 130, 211;
%e A230435 32, 80, 152, 260, 422, 665;
%e A230435 ...
%t A230435 T[n_,k_]:=Sum[3^j*2^(n-j),{j,0,k}];Flatten[Table[T[n,k],{n,0,8},{k,0,n}]] (* _Detlef Meya_, Dec 20 2023 *)
%Y A230435 Cf. A000079, A001047, A036561, A066810.
%K A230435 nonn,tabl
%O A230435 0,2
%A A230435 _Christopher Tompkins_, Nov 18 2013