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REFERENCES
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F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 228.
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FORMULA
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(n+1)!^3 * Sum[i=1..n+1, Sum[j=1..i, Sum[k=1..j, 1/(ijk) ]]].
a(n) = (n!^3/6)*(H(n, 1)^3+3*H(n, 1)*H(n, 2)+2*H(n, 3)), where H(n, m) = Sum_{i=1..n} 1/i^m are generalized harmonic numbers. a(n) = (n!^3/6)*((Psi(n+1)+gamma)^3+3*(Psi(n+1)+gamma)*(-Psi(1, n+1)+1/6*Pi^2)+Psi(2, n+1)+2*Zeta(3)). a(n) = n!^3*Sum_{k=1..n} (-1)^(k+1)*binomial(n, k)/k^3. Sum_{n>=0} a(n)*x^n/n!^3 = polylog(3, x/(x-1))/(x-1). (offset 2) - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 30 2005
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