A377892
E.g.f. A(x) satisfies A(x) = (1 + x*A(x)^2) * exp(x * A(x)^2).
Original entry on oeis.org
1, 2, 19, 352, 9885, 374486, 17907991, 1035748260, 70334590969, 5487022612810, 483655093883451, 47541690024105608, 5156503816883562325, 611769291578643110238, 78812382009451814165695, 10956572374811382997014796, 1634950184384280878142249969, 260653481562714033459279871250
Offset: 0
A379867
E.g.f. A(x) satisfies A(x) = 1/(exp(-x*A(x)^2) - x*A(x)^2).
Original entry on oeis.org
1, 2, 23, 529, 18589, 884281, 53195407, 3874595089, 331580316473, 32614443047521, 3625839880813171, 449629404853604185, 61535275741655857621, 9213155228282408405185, 1498018121369750569371959, 262869047482982449625840161, 49515850496472530668242845041
Offset: 0
A380647
Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-3*x)/(1 + x)^3 ).
Original entry on oeis.org
1, 6, 105, 3246, 146637, 8780688, 657224901, 59140486800, 6223651526457, 750357182131200, 102014741343847329, 15443915464974191616, 2576937457466957107845, 469914373917914931984384, 92982800086882512621716925, 19843243096453465663599962112, 4543276116844426827394718716401
Offset: 0
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nmax=17; CoefficientList[(1/x)InverseSeries[Series[x*Exp[-3*x]/(1 + x)^3 ,{x,0,nmax}]],x]Range[0,nmax-1]! (* Stefano Spezia, Feb 06 2025 *)
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a(n) = 3*n!*sum(k=0, n, (3*n+3)^(k-1)*binomial(3*n+3, n-k)/k!);
A379886
E.g.f. A(x) satisfies A(x) = 1/(exp(-x) - x*A(x)^2).
Original entry on oeis.org
1, 2, 15, 247, 6221, 212421, 9181555, 480780875, 29589829785, 2093629793113, 167458531710431, 14942213260220247, 1471585837443194533, 158562898380718019813, 18555214181719160291403, 2343490814996151816116131, 317730224718816177328965425, 46028095309438150072340711601
Offset: 0
A379897
E.g.f. A(x) satisfies A(x) = 1/(exp(-x*A(x)^3) - x).
Original entry on oeis.org
1, 2, 19, 388, 12273, 528216, 28824811, 1907463440, 148449329825, 13287501321472, 1344889039128291, 151888157696186880, 18936317798871433681, 2583256803370493809664, 382764484828432552194875, 61215815097927618654693376, 10510472883169375744953509697, 1928296235410784800904193638400
Offset: 0
A379912
E.g.f. A(x) satisfies A(x) = 1/(exp(-x*A(x)^3) - x*A(x)).
Original entry on oeis.org
1, 2, 23, 541, 19585, 962901, 59969227, 4526706661, 401724516641, 40994441922169, 4729721311570411, 608827327842480825, 86507217246635276065, 13448830748996370988885, 2270847762050485928361227, 413849998079530364443224781, 80967576778854924208520130241
Offset: 0
Showing 1-6 of 6 results.