A060910
E.g.f.: exp(x*exp(x*exp(x)) + 1/2*x^2*exp(x*exp(x))^2 + 1/4*x^4*exp(x*exp(x))^4).
Original entry on oeis.org
1, 1, 4, 25, 200, 1941, 22552, 304207, 4660224, 79627609, 1496962736, 30645682299, 677868344056, 16102526543533, 408764126148120, 11042583947604871, 316299747976627808, 9574687031473970673
Offset: 0
- I. P. Goulden and D. M. Jackson, Combinatorial Enumeration, Wiley, N.Y., 1983.
A060911
E.g.f.: exp(x*exp(x*exp(x*exp(x))) + 1/2*x^2*exp(x*exp(x*exp(x)))^2).
Original entry on oeis.org
1, 1, 4, 25, 218, 2331, 29152, 417607, 6746700, 121312441, 2401341056, 51857779689, 1212621122176, 30509979042115, 821524617293304, 23563369209520711, 717014609781379568, 23064363484845390513
Offset: 0
- I. P. Goulden and D. M. Jackson, Combinatorial Enumeration, Wiley, N.Y., 1983.
A060912
E.g.f.: exp(x*exp(x*exp(x*exp(x*exp(x)))) + 1/2*x^2*exp(x*exp(x*exp(x*exp(x))))^2).
Original entry on oeis.org
1, 1, 4, 25, 218, 2451, 33112, 516727, 9117180, 179330905, 3890434256, 92271385449, 2374775505016, 65900749176835, 1961009596461840, 62275489622799751, 2101798757669917328, 75111617959762807473
Offset: 0
- I. P. Goulden and D. M. Jackson, Combinatorial Enumeration, Wiley, N.Y., 1983.
A235325
Number of ordered pairs of endofunctions f,g on a set of n elements satisfying f(f(x)) = g(g(g(x))).
Original entry on oeis.org
1, 1, 4, 51, 1072, 31845, 1292616, 68464207, 4555593904, 369790197705
Offset: 0
A235326
Number of ordered pairs of endofunctions f,g on a set of n elements satisfying f(f(f(x))) = g(g(g(x))).
Original entry on oeis.org
1, 1, 4, 51, 1504, 66525, 4196856, 359031967, 39705044464, 5476674540825
Offset: 0
A235327
Number of ordered pairs of endofunctions f, g on a set of n elements satisfying f(f(x)) = g(g(x)).
Original entry on oeis.org
1, 1, 6, 69, 1144, 25045, 708336, 24564211, 1020980640, 49909891257
Offset: 0
A239753
Number of pairs of functions (f,g) on a set of n elements into itself satisfying f(x) = g(f(g(x))).
Original entry on oeis.org
1, 1, 8, 87, 1312, 24685, 564336, 15168811
Offset: 0
A239754
Number of pairs of functions (f,g) from a set of n elements into itself satisfying f(g(f(x))) = g(g(g(x))).
Original entry on oeis.org
1, 1, 8, 111, 2896, 119985, 7180776, 581563129
Offset: 0
A239755
Number of pairs of functions (f,g) from a set of n elements into itself satisfying f(g(x)) = g(f(f(x))).
Original entry on oeis.org
1, 1, 8, 123, 2776, 86265, 3498336, 179365669
Offset: 0
A239756
Number of pairs of functions (f,g) from a set of n elements into itself satisfying f(f(g(x))) = g(g(x)).
Original entry on oeis.org
1, 1, 8, 129, 3616, 151845, 8864496, 682005919
Offset: 0