A376476
E.g.f. satisfies A(x) = exp( x^2*A(x)^2 * (1 + x*A(x)) ).
Original entry on oeis.org
1, 0, 2, 6, 60, 720, 8400, 161280, 2857680, 66528000, 1650227040, 45984153600, 1430926136640, 47843446210560, 1760106348000000, 69273962466508800, 2936107841835168000, 132818888849994547200, 6387603066932383296000, 325931634111283200000000, 17558641895241269299276800
Offset: 0
A376493
E.g.f. satisfies A(x) = exp(x^3 * (1 + x) * A(x)^3).
Original entry on oeis.org
1, 0, 0, 6, 24, 0, 2520, 35280, 141120, 6048000, 181440000, 1995840000, 51831964800, 2280127449600, 47882676441600, 1192991325926400, 59048471978496000, 1942527607308288000, 56983429057076121600, 2842216483159788134400, 126830901998902413312000
Offset: 0
-
my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-3*x^3*(1+x))/3)))
-
a(n) = n!*sum(k=0, n\3, (3*k+1)^(k-1)*binomial(k, n-3*k)/k!);
A376565
E.g.f. satisfies A(x) = exp( x*A(x) * (1 + x^3*A(x)^3) ).
Original entry on oeis.org
1, 1, 3, 16, 149, 2016, 34447, 692224, 15986889, 420544000, 12494098331, 414681513984, 15201740343517, 609446038061056, 26511336043734375, 1243650774790045696, 62591481040666342673, 3364694927903114919936, 192423068815578523022899, 11665229364232192000000000
Offset: 0
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