|
%I #17 Mar 19 2017 00:48:49
%S 1,4,1,16,5,1,64,40,6,1,256,320,72,7,1,1024,2560,864,112,8,1,4096,
%T 20480,10368,1792,160,9,1,16384,163840,124416,28672,3200,216,10,1,
%U 65536,1310720,1492992,458752,64000
%N Triangle with columns built from certain power sequences.
%C The column sequences (without leading 0's) give: A000302 (powers of 4), A067412, A067419 and A067404 for m=0..3; A067426-9 for m=5..8. The fifth column (m=4) gives [1, 8, 160, 3200, 64000, 1280000, 25600000, ...].
%H Indranil Ghosh, <a href="/A067425/b067425.txt">Rows 0..125, flattened</a>
%F a(n, m) = 1 if n=m; a(n, m)= (m+4)*(4*(m+1))^(n-m-1) if n > m >= 0, else 0.
%F G.f. for column m: (x^m)*(1-3*m*x)/(1-4*(m+1)*x).
%e Triangle starts:
%e 1;
%e 4, 1;
%e 16, 5, 1;
%e 64, 40, 6, 1;
%e ...
%Y Cf. A009998, A067410, A067417.
%K nonn,easy,tabl
%O 0,2
%A _Wolfdieter Lang_, Jan 25 2002
|
