Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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