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A113328
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a(n) = Sum_{k=0..n} 3^k*A111146(n,k).
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6
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1, 3, 18, 117, 801, 5724, 42633, 331911, 2717874, 23620329, 220260789, 2228505372, 24681015981, 300506801715, 4017984855786, 58675338993069, 928673101727001, 15804592586240220, 287174716511520033, 5538727108037507535
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: A(x) = 1/(1 - 3/2!*x*Sum(k>=0} (k+2)!*x^k ).
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EXAMPLE
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A(x) = (1 + 3*x + 18*x^2 + 117*x^3 + 801*x^4 + 5724*x^5 +..)
= 1/(1 - 3/2!*x*(2! + 3!*x + 4!*x^2 + 5!*x^3 + 6!*x^4 +..) ).
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PROG
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(PARI) {a(n)=local(y=3, x=X+X*O(X^n)); polcoeff(1/(1 - y/(y-1)!*x*sum(k=0, n, (y-1+k)!*x^k)), n, X)}
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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