A285737
Expansion of Product_{k>=1} (1 + k^2*x^k)^k.
Original entry on oeis.org
1, 1, 8, 35, 107, 421, 1312, 4474, 13622, 43977, 130473, 388025, 1146640, 3265446, 9352424, 26033637, 72144351, 196664848, 532768901, 1422725368, 3768251677, 9893857617, 25709347054, 66367179293, 169754459790, 431237516979, 1086813719408, 2722241654623
Offset: 0
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nmax=40; CoefficientList[Series[Product[(1+k^2*x^k)^k, {k, 1, nmax}], {x, 0, nmax}], x]
A371311
Expansion of e.g.f. Product_{k>=1} (1 + k*x^k/(k-1)!).
Original entry on oeis.org
1, 1, 4, 21, 52, 465, 3306, 14161, 74208, 960777, 10558630, 44851521, 361716576, 2473446157, 46951741760, 735722365995, 3502764883456, 27660533205537, 257573937401838, 2415069153393553, 62591287234200960, 1356650271603527061, 6966660193683272104, 61046400429116180475
Offset: 0
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nmax = 23; CoefficientList[Series[Product[(1 + k x^k/(k - 1)!), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
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