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A294809
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Expansion of Product_{k>=1} (1 - k^k*x^k)^k.
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6
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1, -1, -8, -73, -927, -13969, -254580, -5288596, -124795126, -3272571133, -94692028369, -2991756529687, -102571647087930, -3791499758414848, -150359326161180392, -6367668575791613601, -286854342016830115157, -13697147209040205869792
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OFFSET
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0,3
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COMMENTS
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This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -n, g(n) = n^n.
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LINKS
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FORMULA
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a(0) = 1 and a(n) = -(1/n) * Sum_{k=1..n} A294810(k)*a(n-k) for n > 0.
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PROG
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(PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-k^k*x^k)^k))
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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