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Triangle T(n,k), read by rows, given by [0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,...] DELTA [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,...] where DELTA is the operator defined in A084938.
5

%I #13 May 06 2024 12:05:54

%S 1,0,1,0,0,2,0,0,1,4,0,0,2,4,8,0,0,4,10,12,16,0,0,8,24,36,32,32,0,0,

%T 16,56,101,112,80,64,0,0,32,128,270,360,320,192,128,0,0,64,288,696,

%U 1086,1160,864,448,256,0,0,128,640,1744,3120,3900,3488,2240,1024,512

%N Triangle T(n,k), read by rows, given by [0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,...] DELTA [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,...] where DELTA is the operator defined in A084938.

%H Alois P. Heinz, <a href="/A168511/b168511.txt">Rows n = 0..140, flattened</a>

%F Sum_{k=0..n} T(n,k)*x^(n-k) = A001405(n), A011782(n), A000108(n), A168490(n), A168492(n) for x = -1,0,1,2,3 respectively.

%e Triangle begins:

%e 1;

%e 0, 1;

%e 0, 0, 2;

%e 0, 0, 1, 4;

%e 0, 0, 2, 4, 8;

%e 0, 0, 4, 10, 12, 16;

%e 0, 0, 8, 24, 36, 32, 32;

%e 0, 0, 16, 56, 101, 112, 80, 64;

%e ...

%Y Cf. A021913, A133872.

%K nonn,tabl

%O 0,6

%A _Philippe Deléham_, Nov 28 2009

%E Corrected and extended by _Philippe Deléham_, Mar 20 2013