%I A067410
%S A067410 1,2,1,4,3,1,8,12,4,1,16,48,24,5,1,32,192,144,40,6,1,64,768,864,320,60,
%T A067410 7,1,128,3072,5184,2560,600,84,8,1,256,12288,31104,20480,6000,1008,112,
%U A067410 9,1,512,49152,186624,163840
%N A067410 Triangle with columns built from certain power sequences.
%C A067410 The column sequences (without leading 0's)give: A000079, A002001, A067411-2 
               for m=0..3 and A067413-6 for m=5..8. The fifth column (m=4) is [1,
               6,60,600,6000,60000,...].
%F A067410 a(n, m)= 1 if n=m; a(n, m)= (m+2)*(2*(m+1))^(n-m-1) if n>m>=0, else 0.
%F A067410 G.f. for column m: (x^m)*(1-m*x)/(1-2*(m+1)*x).
%e A067410 {1}; {2,1}; {4,3,1}; {8,12,4,1}; ...
%Y A067410 Cf. A009998 (triangle built from powers of (m+1)), A067402.
%Y A067410 Sequence in context: A164967 A106195 A051129 this_sequence A109977 A080079 
               A082467
%Y A067410 Adjacent sequences: A067407 A067408 A067409 this_sequence A067411 A067412 
               A067413
%K A067410 nonn,easy,tabl
%O A067410 0,2
%A A067410 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jan 25 
               2002