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A174523 Triangle T(n,1) = A117989(n+1) in the first column and recursively T(n,k) = 2*T(n-1,k-1).

%I A174523 #8 May 19 2016 16:03:45
%S A174523 1,1,2,3,2,4,3,6,4,8,7,6,12,8,16,8,14,12,24,16,32,14,16,28,24,48,32,
%T A174523 64,18,28,32,56,48,96,64,128,28,36,56,64,112,96,192,128,256,35,56,72,
%U A174523 112,128,224,192,384,256,512,53,70,112,144,224,256
%N A174523 Triangle T(n,1) = A117989(n+1) in the first column and recursively T(n,k) = 2*T(n-1,k-1).
%e A174523 1;
%e A174523 1,2;
%e A174523 3,2,4;
%e A174523 3,6,4,8;
%e A174523 7,6,12,8,16;
%e A174523 8,14,12,24,16,32;
%e A174523 14,16,28,24,48,32,64;
%e A174523 18,28,32,56,48,96,64,128;
%e A174523 28,36,56,64,112,96,192,128,256;
%e A174523 35,56,72,112,128,224,192,384,256,512;
%p A174523 A174523 := proc(n,k)
%p A174523     option remember;
%p A174523     if k = 1 then
%p A174523         A117989(n+1) ;
%p A174523     elif k > n then
%p A174523         0;
%p A174523     else
%p A174523         2*procname(n-1,k-1) ;
%p A174523     end if;
%p A174523 end proc: # _R. J. Mathar_, May 19 2016
%Y A174523 Cf. A056823 (row sums).
%K A174523 easy,nonn,tabl
%O A174523 1,3
%A A174523 _Alford Arnold_, Mar 30 2010
%E A174523 Edited by _R. J. Mathar_, May 17 2016