A382087
Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x * B(x)^2) ), where B(x) = 1 + x*B(x)^3 is the g.f. of A001764.
Original entry on oeis.org
1, 1, 7, 106, 2525, 82536, 3436867, 174045376, 10385025849, 713599868800, 55498397386751, 4819444051348224, 462246012357060373, 48531686994029295616, 5536163290789601602875, 681824639839489261060096, 90168540044259473683829873, 12744019609725371553920876544
Offset: 0
-
a(n) = if(n==0, 1, (n-1)!*sum(k=0, n-1, (n+1)^(n-k-1)*binomial(2*n+k-1, k)/(n-k-1)!));
A382088
Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x * B(x)^3) ), where B(x) = 1 + x*B(x)^4 is the g.f. of A002293.
Original entry on oeis.org
1, 1, 9, 178, 5549, 237456, 12945037, 858203872, 67035559257, 6029839290880, 613862192499281, 69777500840918784, 8760124051527691141, 1203852634738613966848, 179746834136205848167125, 28975042890917781500747776, 5015346425440407318539964593, 927775677566572703009955053568
Offset: 0
-
a(n) = if(n==0, 1, (n-1)!*sum(k=0, n-1, (n+1)^(n-k-1)*binomial(3*n+k-1, k)/(n-k-1)!));
A382089
Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x * B(x)^4) ), where B(x) = 1 + x*B(x)^5 is the g.f. of A002294.
Original entry on oeis.org
1, 1, 11, 268, 10301, 543576, 36542527, 2987431168, 287751180537, 31916479461760, 4006558784401811, 561568192339405824, 86932015931716588789, 14730649112418719484928, 2711977587454133506904775, 539042371050858695696121856, 115046065096051639979478349553
Offset: 0
-
a(n) = if(n==0, 1, (n-1)!*sum(k=0, n-1, (n+1)^(n-k-1)*binomial(4*n+k-1, k)/(n-k-1)!));
Showing 1-3 of 3 results.