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 A182949 #7 Jul 22 2025 08:44:22
%S A182949 1,2,3,5,7,4,14,19,11,6,41,55,32,16,8,122,163,95,46,21,9,365,487,284,
%T A182949 136,60,25,10,1094,1459,851,406,177,73,29,12,3281,4375,2552,1216,528,
%U A182949 217,86,34,13,9842,13123,7655,3646,1581,649,257,100,38,15
%N A182949 Joint-rank array of the numbers (3*i+1)*3^j, where i>=0, j>=0, by antidiagonals.
%C A182949 Joint-rank arrays are defined in the first comment at A182801. As for any joint-rank array, A182949 is a permutation of the positive integers, but, a fortiori, A182949 is an interspersion: after initial terms every row is interspersed with all other rows. The numbers (3*i+1)*3^j as an array comprise A182828; and sorted, A026225.
%C A182949 (row 1)=A007051.
%C A182949 (row 2)=A052919.
%C A182949 (col 1)=A182829.
%H A182949 Clark Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/intersp.html">Interspersions and Dispersions</a>.
%e A182949 Northwest corner:
%e A182949 1....2....5....14...
%e A182949 3....7...19....55...
%e A182949 4...11...32....95...
%e A182949 6...16...46...136...
%t A182949 M[i_,j_]:=j+Floor[Log[3*i+1]/Log[3]]; T[i_,j_]:=Sum[Floor[2/3+(3*i+1)*3^(j-k-1)],{k,0,M[i,j]}]; TableForm[Table[T[i,j],{i,0,9},{j,0,9}]]
%Y A182949 Cf. A182801, A182828, A026225, A182950.
%K A182949 nonn,tabl
%O A182949 1,2
%A A182949 _Clark Kimberling_, Dec 15 2010