%I A067417
%S A067417 1,3,1,9,4,1,27,24,5,1,81,144,45,6,1,243,864,405,72,7,1,729,5184,3645,
%T A067417 864,105,8,1,2187,31104,32805,10368,1575,144,9,1,6561,186624,295245,
%U A067417 124416,23625,2592,189,10,1
%N A067417 Triangle with columns built from certain power sequences.
%C A067417 The column sequences (without leading 0's) give: A000244 (powers of 3), 
               A067411 for m=0..1 and A067419-24 for m=3..8. The third column (m=2) 
               is A067403.
%F A067417 a(n, m)= 1 if n=m; a(n, m)= (m+3)*(3*(m+1))^(n-m-1) if n>m>=0, else 0.
%F A067417 G.f. for column m: (x^m)*(1-2*m*x)/(1-3*(m+1)*x).
%e A067417 {1}; {3,1}; {9,4,1}; {27,24,5,1}; ...
%Y A067417 Cf. A009998 (triangle built from powers of (m+1)), A067402, A067410.
%Y A067417 Sequence in context: A054448 A106516 A140071 this_sequence A016577 A124573 
               A127550
%Y A067417 Adjacent sequences: A067414 A067415 A067416 this_sequence A067418 A067419 
               A067420
%K A067417 nonn,easy,tabl
%O A067417 0,2
%A A067417 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jan 25 
               2002