cp's OEIS Frontend

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.

A182950 Joint-rank array of the numbers (3*i+2)*3^j, where i>=0, j>=0, by antidiagonals.

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%I A182950 #4 Mar 30 2012 18:57:12
%S A182950 1,3,2,9,7,4,27,22,12,5,81,67,36,16,6,243,202,108,49,20,8,729,607,324,
%T A182950 148,62,25,10,2187,1822,972,445,188,76,30,11,6561,5467,2916,1336,566,
%U A182950 229,90,34,13,19683,16402,8748,4009,1700,688,270,103,39,14
%N A182950 Joint-rank array of the numbers (3*i+2)*3^j, where i>=0, j>=0, by antidiagonals.
%C A182950 Joint-rank arrays are defined in the first comment at A182801.  As for any joint-rank array, A182950 is a permutation of the positive integers, but, a fortiori, A182950 is an interspersion: after initial terms every row is interspersed with all other rows.  The numbers (3*i+2)*3^j as an array comprise A182830; and sorted, possibly A026179.
%C A182950 (row 1)=A000244.
%C A182950 (row 2)=A060816.
%C A182950 (row 3)=A003946.
%C A182950 (row 4)=A052909.
%C A182950 (row 5)=A027107?
%H A182950 Clark Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/intersp.html">Interspersions and Dispersions</a>.
%e A182950 Northwest corner:
%e A182950 1....3....9....27...
%e A182950 2....7...22....67...
%e A182950 4...12...36...108...
%e A182950 5...16...49...148...
%t A182950  M[i_,j_]:=j+Floor[Log[3*i/2+1]/Log[3]];
%t A182950  T[i_,j_]:=Sum[Floor[1/3+(3*i+2)*3^(j-k-1)],{k,0,M[i,j]}];
%t A182950  TableForm[Table[T[i,j],{i,0,9},{j,0,9}]]
%Y A182950 Cf. A182801, A182830, A026179, A182949.
%K A182950 nonn,tabl
%O A182950 1,2
%A A182950 _Clark Kimberling_, Dec 15 2010