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Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A104455.
2

%I #14 Sep 08 2013 19:59:26

%S 1,4,1,17,8,1,77,50,12,1,371,290,99,16,1,1890,1647,703,164,20,1,10095,

%T 9366,4644,1380,245,24,1,56040,53853,29592,10434,2385,342,28,1,320795,

%U 314234,185411,74084,20345,3782,455,32,1

%N Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A104455.

%C Equal to B*A171568 = A125906*B^(-1), B = A007318.

%F T(n,0)-T(n,1)=3^n.

%F T(n,k) = T(n-1,k-1) + 4*T(n-1,k) + sum_{i, i>=0} T(n-1,k+1+i). - _Philippe Deléham_, Feb 23 2012

%e Triangle begins :

%e 1

%e 4, 1

%e 17, 8, 1

%e 77, 50, 12, 1

%e 371, 290, 99, 16, 1

%e 1890, 1647, 703, 164, 20, 1

%e 10095, 9366, 4644, 1380, 245, 24, 1

%e Production matrix begins

%e 4, 1

%e 1, 4, 1

%e 1, 1, 4, 1

%e 1, 1, 1, 4, 1

%e 1, 1, 1, 1, 4, 1

%e 1, 1, 1, 1, 1, 4, 1

%e 1, 1, 1, 1, 1, 1, 4, 1

%e 1, 1, 1, 1, 1, 1, 1, 4, 1

%e ... - _Philippe Deléham_, Mar 05 2013

%Y Cf. A104455, A125906, A171568,

%K nonn,tabl

%O 0,2

%A _Philippe Deléham_, Dec 12 2009