A377826
E.g.f. satisfies A(x) = (1 + x) * exp(x * A(x)).
Original entry on oeis.org
1, 2, 7, 49, 489, 6521, 108643, 2178107, 51084337, 1373054833, 41624314371, 1405311853595, 52299954524953, 2127347522554073, 93902399411048803, 4470613587492385051, 228362858274694209249, 12458393118650371672673, 722983769486947261178371
Offset: 0
A377829
Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x)/(1 + x)^2 ).
Original entry on oeis.org
1, 3, 25, 364, 7713, 216216, 7568041, 318256800, 15644919681, 880848974080, 55912403743161, 3951344780946432, 307737594185310625, 26190457718737019904, 2418475248758250599625, 240846113359411822759936, 25731326615411044591298049, 2935802801104074173428531200
Offset: 0
A377828
E.g.f. satisfies A(x) = (1 + x)^3 * exp(x * A(x)).
Original entry on oeis.org
1, 4, 21, 193, 2669, 48711, 1113325, 30615019, 984983193, 36319515355, 1510538562641, 69968975169567, 3572684914283941, 199389519518767111, 12075888110164192917, 788850329621989132771, 55289606764547108653361, 4138807268239824817387443, 329564746571982961088975257
Offset: 0
A378019
E.g.f. satisfies A(x) = (1+x) * exp( x * (1+x) * A(x) ).
Original entry on oeis.org
1, 2, 9, 79, 957, 15441, 309943, 7468301, 210221385, 6774449185, 246049105131, 9947338595085, 443121311695021, 21568178966624993, 1138938283455953919, 64856665518838006861, 3961941908569940501649, 258453847468153873181889, 17932482767578645884498643
Offset: 0
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my(N=20, x='x+O('x^N)); Vec(serlaplace((1+x)*exp(-lambertw(-x*(1+x)^2))))
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a(n) = n!*sum(k=0, n, (k+1)^(k-1)*binomial(2*k+1, n-k)/k!);
Showing 1-4 of 4 results.