A380916
E.g.f. A(x) satisfies A(x) = exp(2 * x / (1 - x*A(x))) / (1 - x*A(x)).
Original entry on oeis.org
1, 3, 20, 254, 4832, 123152, 3947008, 152638320, 6919663360, 359984690432, 21143150157824, 1384004213748224, 99919253031411712, 7887827865170055168, 675952599490594422784, 62495398874421426649088, 6200786173880446466785280, 657212589119205105944428544
Offset: 0
-
a(n, q=2, r=2, s=0, t=1, u=1/2) = q*n!*sum(k=0, n, (r*n+(s-r)*k+q)^(k-1)*binomial((r*u+1)*n+((s-r)*u+t-1)*k+q*u-1, n-k)/k!);
A380917
E.g.f. A(x) satisfies A(x) = exp(3 * x / (1 - x*A(x))) / (1 - x*A(x)).
Original entry on oeis.org
1, 4, 31, 453, 9957, 293103, 10850625, 484699491, 25381819737, 1525299702363, 103484966417109, 7824985701013143, 652582573442231733, 59509330659228595239, 5890961096785803165129, 629159786981753244521787, 72111288184913038638092337, 8828896697592792281849882547
Offset: 0
-
a(n, q=3, r=3, s=0, t=1, u=1/3) = q*n!*sum(k=0, n, (r*n+(s-r)*k+q)^(k-1)*binomial((r*u+1)*n+((s-r)*u+t-1)*k+q*u-1, n-k)/k!);
A380915
E.g.f. A(x) satisfies A(x) = exp(x / (1 - x*A(x)^3)) / (1 - x*A(x)^3).
Original entry on oeis.org
1, 2, 19, 421, 14453, 676741, 40225525, 2901397997, 246222420841, 24038780973913, 2654362957336481, 327087730518759937, 44498835149618922253, 6624743172003104909957, 1071295799491745519081629, 186999332904147675923216341, 35044146207707289182759039825
Offset: 0
-
a(n, q=1, r=3, s=0, t=1, u=1) = q*n!*sum(k=0, n, (r*n+(s-r)*k+q)^(k-1)*binomial((r*u+1)*n+((s-r)*u+t-1)*k+q*u-1, n-k)/k!);
Showing 1-3 of 3 results.