|
%I #4 Mar 31 2012 20:08:10
%S 1,2,0,3,0,0,0,2,0,0,5,0,0,0,0,0,0,2,0,0,0,7,0,0,0,0,0,0,0,0,0,2,0,0,
%T 0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,
%U 0,0,0,2,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
%N Triangle T(n,k) read by rows. T(n,k)=abs(A181101)*n/k.
%C Let A=T(n,k)*T(n,k), B=A*A, C=B*B, D=C*C, and so on. Then the first column in the last matrix (D) converges to the natural numbers. Rows sums are (unsurprisingly) A020639. Except for the first column, the largest and last element in the columns are also A020639.
%e Triangle starts:
%e 1,
%e 2,0,
%e 3,0,0,
%e 0,2,0,0,
%e 5,0,0,0,0,
%e 0,0,2,0,0,0,
%e 7,0,0,0,0,0,0,
%e 0,0,0,2,0,0,0,0,
%e 0,0,3,0,0,0,0,0,0,
%e 0,0,0,0,2,0,0,0,0,0,
%e 11,0,0,0,0,0,0,0,0,0,0,
%e 0,0,0,0,0,2,0,0,0,0,0,0,
%e 13,0,0,0,0,0,0,0,0,0,0,0,0,
%Y Cf. A181101, A020639.
%K nonn,tabl
%O 1,2
%A Mats Granvik, _Gary W. Adamson_, Oct 03 2010
|
