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A359966
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Expansion of Product_{k>=2} (1 - x^(k^2-1)) in powers of x.
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5
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1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 1, 1, 0, 0, -1, 1, 0, 0, -1, -1, -1, 0, 2, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 0, -1, -1, 0, 1, 1, 0, -2, -1, 1, 3
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OFFSET
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0,36
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LINKS
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FORMULA
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a(0) = 1; a(n) = -(1/n) * Sum_{k=1..n} A359967(k) * a(n-k).
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PROG
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(PARI) my(N=100, x='x+O('x^N)); Vec(prod(k=2, sqrtint(N+1), 1-x^(k^2-1)))
(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=-sum(j=1, i, sumdiv(j, d, issquare(d+1)*d)*v[i-j+1])/i); v;
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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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