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 A115189 Third diagonal (M=3) of triangle A115154 (called Y(3,1)). 0

%I

%S 1,40,466,4870,50053,516256,5371210,56422444,598180570,6395471992,

%T 68897550064,747270112390,8154207352045,89462667739360,

%U 986322436120690,10922076949690180,121428345789834430,1354895520307913680

%N Third diagonal (M=3) of triangle A115154 (called Y(3,1)).

%F a(n)= A115154(n+2,n+1), n>=0.

%F Recurrence: a(n)= b(n) - 6*b(n-1), with b(n):=A064063(n+3), n>=0.

%F G.f.: ((-3+9*x +2*x^2) + 3*(1-6*x)*c(3*x))/((2+x)*x^2), with the o.g.f. c(x) of A000108 (Catalan).

%e 466 = a(2) = A064063(5) - 6*A064063(4) = 1606 - 6*190.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Feb 23 2006

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Last modified July 23 14:44 EDT 2021. Contains 346259 sequences. (Running on oeis4.)