%I A094617
%S A094617 2,3,4,5,7,10,9,13,19,28,17,25,37,55,82,33,49,73,109,163,244,65,97,145,
%T A094617 217,325,487,730,129,193,289,433,649,973,1459,2188,257,385,577,865,1297,
%U A094617 1945,2917,4375,6562,513,769,1153,1729,2593,3889,5833,8749,13123,19684
%N A094617 Triangular array T of numbers generated by these rules: 2 is in T; and 
               if x is in T, then 2x-1 and 3x-2 are in T.
%C A094617 T(n,0)=1+2^n=A000051(n); T(n,n)=1+3^n=A048473(n); T(2n,n)=1+6^n=A062394; 
               row sums = A094618.
%F A094617 To obtain row n from row n-1, apply 2x-1 to each x in row n-1 and then 
               put 1+3^n at the end. Or, instead, apply 3x-2 to each x in row n-1 
               and then put 1+2^n at the beginning.
%e A094617 Rows 0 to 3:
%e A094617 2 = T(0,0)
%e A094617 3 4 = T(1,0) T(1,1), etc.
%e A094617 5 7 10
%e A094617 9 13 19 28
%Y A094617 Cf. A094616, A094618.
%Y A094617 Sequence in context: A051453 A118463 A137929 this_sequence A047502 A117092 
               A002504
%Y A094617 Adjacent sequences: A094614 A094615 A094616 this_sequence A094618 A094619 
               A094620
%K A094617 nonn,tabl
%O A094617 1,1
%A A094617 Clark Kimberling (ck6(AT)evansville.edu), May 14 2004