A380726
E.g.f. A(x) satisfies A(x) = exp(x * A(x)^2 / (1 - x*A(x)^2)) / (1 - x*A(x)^2).
Original entry on oeis.org
1, 2, 23, 526, 18345, 865426, 51606511, 3725086590, 315869177777, 30781410753250, 3390102419068071, 416446509483046318, 56455962861401232025, 8372599773137199223794, 1348414830158700569758655, 234364024637335981658563486, 43725325359127416298442233569
Offset: 0
A380724
E.g.f. A(x) satisfies A(x) = exp(x * A(x)^3) / (1 - x*A(x)^3).
Original entry on oeis.org
1, 2, 29, 862, 39461, 2454296, 193406953, 18475039808, 2075062993865, 268013104242688, 39139481641977461, 6377306725457207552, 1147019426037344539501, 225728971809041691392000, 48248339461852786811399489, 11131014193619108036340637696, 2756799306857952163745291500433
Offset: 0
A380753
E.g.f. A(x) satisfies A(x) = exp(x * A(x)^2) / (1 - x * A(x)^2)^2.
Original entry on oeis.org
1, 3, 47, 1453, 68349, 4344751, 348936139, 33912469305, 3871084443641, 507765120717691, 75265926888996711, 12443096536067016997, 2270083842550815380725, 453042725968243823206887, 98183026886745981671902979, 22962952582930039784948279281, 5764815614414943166224203759601
Offset: 0
A380755
E.g.f. A(x) satisfies A(x) = exp(x * A(x)^2 / (1 - x * A(x)^2)^2) / (1 - x * A(x)^2).
Original entry on oeis.org
1, 2, 25, 622, 23601, 1211306, 78585241, 6171434550, 569338685089, 60362321078674, 7232765564919321, 966640735654507838, 142570635491126076625, 23003561321179411452858, 4030628821337323603113241, 762175215630679850520288646, 154707566043362563540600474689
Offset: 0
A380945
Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - x)^2 * exp(-2*x) ).
Original entry on oeis.org
1, 4, 50, 1124, 37192, 1637232, 90278176, 5992556320, 465599728512, 41470892979200, 4167168740195584, 466428111222196224, 57556315795242096640, 7763511917730857967616, 1136484206117494859980800, 179453678311835212416585728, 30404317385796994658988752896
Offset: 0
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a(n, q=2, r=2, s=2, t=0, u=1) = q*n!*sum(k=0, n, (r*n+(s-r)*k+q)^(k-1)*binomial((r*u+1)*n+((s-r)*u+t-1)*k+q*u-1, n-k)/k!);
Showing 1-5 of 5 results.