A363356
E.g.f. satisfies A(x) = exp(x * A(x) * (1 + x * A(x)^3)).
Original entry on oeis.org
1, 1, 5, 52, 821, 17536, 473497, 15476224, 594230345, 26221431808, 1307680266221, 72739285725184, 4465197522732157, 299855584017743872, 21867349264346912705, 1721013285639521959936, 145394112130209844644113, 13123788855563296766427136
Offset: 0
A372178
E.g.f. A(x) satisfies A(x) = exp( 2 * x * A(x)^(1/2) * (1 + x * A(x)) ).
Original entry on oeis.org
1, 2, 12, 122, 1800, 35002, 848236, 24664362, 837602352, 32558200370, 1426118691924, 69522324440098, 3733960438696648, 219101400537409002, 13946923555466389884, 957297896801470079258, 70483467144263313405024, 5541471459106022647303522
Offset: 0
-
a(n, r=2, s=1, t=1, u=2) = r*n!*sum(k=0, n, (t*k+u*(n-k)+r)^(k-1)*binomial(s*k, n-k)/k!);
A372182
E.g.f. A(x) satisfies A(x) = exp( x * A(x)^5 * (1 + x * A(x)^2) ).
Original entry on oeis.org
1, 1, 13, 334, 13329, 724316, 49939411, 4177202562, 411049275265, 46530896718520, 5957142774561531, 851104158600401366, 134246582420467536289, 23171656877102178017028, 4344395473350526080895843, 879206880413471231912831626, 191028062860784640128743389441
Offset: 0
-
a(n, r=1, s=1, t=5, u=2) = r*n!*sum(k=0, n, (t*k+u*(n-k)+r)^(k-1)*binomial(s*k, n-k)/k!);
Showing 1-3 of 3 results.