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with(gfun): series(add((-1)^(n+1)*x^(n*(2*n+1))/mul(1 - x^k, k = 1..2*n+1), n = 0..6), x, 100): seriestolist(%); ~ _# _Peter Bala_, Feb 06 2021
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with(gfun); : series(add((-1)^(n+1)*x^(n*(2*n+1))/mul(1 - x^k, k = 1..2*n+1), n = 0..6), x, 100); : seriestolist(%); ~ Peter Bala, Feb 06 2021
G.f.: Sum_{n >= 0} (-1)^(n+1)*x^(n*(2*n+1))/Product_{k = 1..2*n+1} 1 - x^k. - Peter Bala, Feb 06 2021
with(gfun); series(add((-1)^(n+1)*x^(n*(2*n+1))/mul(1-x^k, k = 1..2*n+1), n = 0..6), x, 100); seriestolist(%); ~ Peter Bala, Feb 06 2021
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