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Triangle T(n,k), read by rows, given by [0,1,2,1,2,1,2,1,2,1,2,...] DELTA [2,0,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.
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%I #9 Oct 12 2024 02:02:47

%S 1,0,2,0,2,4,0,6,8,8,0,22,28,24,16,0,90,112,96,64,32,0,394,484,416,

%T 288,160,64,0,1806,2200,1896,1344,800,384,128,0,8558,10364,8952,6448,

%U 4000,2112,896,256,0,41586,50144,43392,31616,20160,11264,5376,2048,512,0

%N Triangle T(n,k), read by rows, given by [0,1,2,1,2,1,2,1,2,1,2,...] DELTA [2,0,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.

%C Riordan array (1, 2x*f(x)) where f(x) is the g.f. of A001003. Riordan production matrix is : (0, (2-x)/(1-x)).

%F Sum_{k=0..n} T(n,k) = A006318(n).

%e Triangle begins:

%e 1 ;

%e 0,2 ;

%e 0,2,4 ;

%e 0,6,8,8 ;

%e 0,22,28,24,16 ; ...

%Y Cf. A104219, A108891.

%K nonn,tabl

%O 0,3

%A _Philippe Deléham_, Jan 23 2010