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A113330
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a(n) = Sum_{k=0..n} 5^k*A111146(n,k).
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6
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1, 5, 50, 525, 5675, 62650, 703975, 8042625, 93454750, 1106250125, 13377432875, 165950540250, 2124087269375, 28260204825625, 394301229688750, 5824314672613125, 91872380184761875, 1557002324898406250
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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 - 5/4!*x*Sum(k>=0} (k+4)!*x^k ).
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EXAMPLE
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A(x) = (1 + 5*x + 50*x^2 + 525*x^3 + 5675*x^4 + 62650*x^5 +..)
= 1/(1 - 5/4!*x*(4! + 5!*x + 6!*x^2 + 7!*x^3 + 8!*x^4 +..) ).
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PROG
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(PARI) {a(n)=local(y=5, 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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