A304446
Coefficient of x^n in Product_{k>=1} 1/(1-x^k)^(n^2).
Original entry on oeis.org
1, 1, 14, 255, 6460, 209405, 8287038, 387605491, 20930373880, 1281932464680, 87828985857380, 6656774777650459, 553068813860022264, 49988877225605011590, 4883606791114233989450, 512829418039842285746460, 57607740718731604241384432, 6893420862444517638234527039
Offset: 0
-
nmax = 20; Table[SeriesCoefficient[Product[1/(1-x^k)^(n^2), {k, 1, n}], {x, 0, n}], {n, 0, nmax}]
nmax = 20; Table[SeriesCoefficient[1/QPochhammer[x]^(n^2), {x, 0, n}], {n, 0, nmax}]
A304448
Coefficient of x^n in Product_{k>=1} ((1+x^k)/(1-x^k))^(n^2).
Original entry on oeis.org
1, 2, 40, 1320, 61984, 3797560, 287566368, 25957422400, 2721948311680, 325260627848442, 43635601119149040, 6494550360714973304, 1062063969900788407680, 189301256401392643093560, 36526821128512112807216192, 7585918627122817713267856320
Offset: 0
-
nmax = 20; Table[SeriesCoefficient[Product[((1+x^k)/(1-x^k))^(n^2), {k, 1, n}], {x, 0, n}], {n, 0, nmax}]
nmax = 20; Table[SeriesCoefficient[(QPochhammer[-1, x]/2/QPochhammer[x])^(n^2), {x, 0, n}], {n, 0, nmax}]
A304459
Coefficient of x^n in Product_{k>=1} (1+x^k)^(n^3).
Original entry on oeis.org
1, 1, 36, 3681, 770576, 276218900, 151479085752, 117975860569973, 123825991870849088, 168480096257782525419, 288418999876101261408100, 606652152400218992684850772, 1537897976017806908644807294656, 4624364862288125600795358272563097
Offset: 0
-
nmax = 20; Table[SeriesCoefficient[Product[(1+x^k)^(n^3), {k, 1, n}], {x, 0, n}], {n, 0, nmax}]
nmax = 20; Table[SeriesCoefficient[(QPochhammer[-1, x]/2)^(n^3), {x, 0, n}], {n, 0, nmax}]
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