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A171505 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A059738. 1

%I #10 Sep 08 2013 19:59:25

%S 1,3,1,10,6,1,34,29,9,1,117,128,57,12,1,405,538,309,94,15,1,1407,2192,

%T 1533,604,140,18,1,4899,8740,7179,3453,1040,195,21,1,17083,34296,

%U 32278,18264,6730,1644,259,24,1,59629,132929,140790,91372,39668,11877,2443

%N Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A059738.

%C Equal to B*A096164 = A171488*B, B=A007318.

%F Sum_{k, 0<=k<=n} T(n,k)*x^k = A005043(n), A001006(n), A005773(n+1), A059738(n) for x = -3, -2, -1, 0 respectively.

%F T(n,k) = T(n-1,k-1) + 3*T(n-1,k) + sum_{i, i>=0} T(n-1,k+1+i)*(-2)^i. - _Philippe Deléham_, Feb 23 2012

%e Triangle begins :

%e 1 ;

%e 3, 1 ;

%e 10, 6, 1 ;

%e 34, 29, 9, 1 ;

%e 117, 128, 57, 12, 1 ; ...

%Y Cf. A097609, A064189, A171488, A096164

%K nonn,tabl

%O 0,2

%A _Philippe Deléham_, Dec 10 2009

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)