A376477
E.g.f. satisfies A(x) = exp( x^3*A(x)^3 * (1 + x*A(x)) ).
Original entry on oeis.org
1, 0, 0, 6, 24, 0, 2520, 40320, 181440, 6048000, 219542400, 2874009600, 57340483200, 2847824179200, 73556683200000, 1606870263398400, 77095250039808000, 3111553620983808000, 91548244100875161600, 4054836680294400000000, 210947475222439667712000, 8463340108487290650624000, 381818416967499733917696000
Offset: 0
A376492
E.g.f. satisfies A(x) = exp(x^2 * (1 + x) * A(x)^2).
Original entry on oeis.org
1, 0, 2, 6, 60, 600, 7680, 123480, 2212560, 47053440, 1104092640, 29200802400, 845985349440, 26864561243520, 924556913280000, 34334318184566400, 1367790957223891200, 58194757879908249600, 2633788044958380710400, 126340003102675832870400
Offset: 0
-
my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-2*x^2*(1+x))/2)))
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a(n) = n!*sum(k=0, n\2, (2*k+1)^(k-1)*binomial(k, n-2*k)/k!);
A376564
E.g.f. satisfies A(x) = exp( x*A(x) * (1 + x^2*A(x)^2) ).
Original entry on oeis.org
1, 1, 3, 22, 245, 3456, 60487, 1283584, 31971753, 912448000, 29369155211, 1053204332544, 41646891006877, 1800306963331072, 84464613778359375, 4274750510822588416, 232146299393990454353, 13465725621588464173056, 830921722002492358973203
Offset: 0
Showing 1-3 of 3 results.