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
A377827
E.g.f. satisfies A(x) = (1 + x)^2 * exp(x * A(x)).
Original entry on oeis.org
1, 3, 13, 106, 1273, 20226, 402589, 9637902, 269967793, 8666441650, 313793596981, 12653878751526, 562489374836041, 27328756018660266, 1440892788988703821, 81940739770677315646, 4999648556871348611425, 325806859913842861709922, 22584652022005415601772645
Offset: 0
A378016
E.g.f. satisfies A(x) = (1+x) * exp( x * (1+x)^2 * A(x) ).
Original entry on oeis.org
1, 2, 11, 115, 1617, 30241, 701923, 19517975, 633387905, 23513238865, 983268873891, 45750603668815, 2344878934878769, 131285573039583977, 7973124098907905603, 522086636316439329511, 36669284618683152764289, 2750044026126526125774625, 219342360538110975815216323
Offset: 0
-
my(N=20, x='x+O('x^N)); Vec(serlaplace((1+x)*exp(-lambertw(-x*(1+x)^3))))
-
a(n) = n!*sum(k=0, n, (k+1)^(k-1)*binomial(3*k+1, n-k)/k!);
A378017
E.g.f. satisfies A(x) = (1+x)^2 * exp( x * (1+x) * A(x) ).
Original entry on oeis.org
1, 3, 15, 148, 2077, 38326, 883369, 24431436, 789531705, 29213730010, 1218401262541, 56566561281616, 2893886178904549, 161768999193007974, 9811122121462081281, 641683497800057913556, 45022670799746182036465, 3373421864644139722767538, 268843153008388446079159573
Offset: 0
-
my(N=20, x='x+O('x^N)); Vec(serlaplace((1+x)^2*exp(-lambertw(-x*(1+x)^3))))
-
a(n) = n!*sum(k=0, n, (k+1)^(k-1)*binomial(3*k+2, n-k)/k!);
Showing 1-4 of 4 results.