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A171509 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A126931. 0

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

%S 1,3,1,10,6,1,33,29,9,1,110,126,57,12,1,366,518,306,94,15,1,1220,2052,

%T 1494,600,140,18,1,4065,7925,6849,3389,1035,195,21,1,13550,30030,

%U 30025,17628,6635,1638,259,24,1

%N Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A126931.

%C Equal to A053121*B^3, B = A007318.

%F Sum_[k, 0<=k<=n} T(n,k)*x^k = A126930(n), A126120(n), A001405(n), A054341(n), A126931(n) for x = -4, -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)*(-3)^i. - _Philippe Deléham_, Feb 23 2012

%e Triangle begins : 1 ; 3,1 ; 10,6,1 ; 33,29,9,1 ; 110,126,57,12,1 ; ...

%Y Cf. A053121, A054336, A096164, A171505

%K nonn,tabl

%O 0,2

%A _Philippe Deléham_, Dec 10 2009

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)