A377811
E.g.f. satisfies A(x) = exp(x * A(x)) / (1 - x)^3.
Original entry on oeis.org
1, 4, 27, 283, 4217, 82971, 2041855, 60475885, 2096566449, 83324680435, 3736041351311, 186594364199277, 10274269171279657, 618386703880855339, 40393224245061185919, 2846030947359659421901, 215160957844217080056161, 17373449685399138641312739, 1492298627191467511376377999
Offset: 0
-
my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-x/(1-x)^3))/(1-x)^3))
-
a(n) = n!*sum(k=0, n, (k+1)^(k-1)*binomial(n+2*k+2, n-k)/k!);
A376145
E.g.f. satisfies A(x) = exp( x * (1+x)^3 * A(x) ).
Original entry on oeis.org
1, 1, 9, 88, 1265, 23916, 558427, 15608986, 508516017, 18936594712, 793902926771, 37017671474334, 1900666877186761, 106576903636156084, 6481047448001720427, 424870924596413523106, 29871349825140536394593, 2242231079099137007066544
Offset: 0
A367790
E.g.f. satisfies A(x) = exp( x/(1-x)^4 * A(x) ).
Original entry on oeis.org
1, 1, 11, 148, 2669, 62056, 1777927, 60692920, 2408692505, 109074596320, 5553702114731, 314208715035304, 19561795753879909, 1329317730339826384, 97924919301787209647, 7773978186375852940696, 661702605336795904770353, 60119367618216155944350400
Offset: 0
A377599
E.g.f. satisfies A(x) = exp( x * A(x) / (1-x)^2 ) / (1-x).
Original entry on oeis.org
1, 2, 13, 145, 2277, 46461, 1172713, 35374697, 1243296169, 49940748073, 2258238723021, 113567169318285, 6289161888870061, 380364426242671469, 24948313525570134001, 1764095427822803465521, 133782341347522663175889, 10832097536377585282160337, 932693691617428946786304661
Offset: 0
-
my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-x/(1-x)^3))/(1-x)))
-
a(n) = n!*sum(k=0, n, (k+1)^(k-1)*binomial(n+2*k, n-k)/k!);
A377608
E.g.f. satisfies A(x) = exp( x * A(x) / (1-x) ) / (1-x)^2.
Original entry on oeis.org
1, 3, 19, 202, 3085, 61886, 1544029, 46182900, 1612759369, 64455582394, 2902794546961, 145497909334856, 8035136800888333, 484821204654219798, 31735810390729211173, 2240132583683741633116, 169624462686462529305745, 13715713402047448280358002, 1179576532854283015832748697
Offset: 0
-
my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-x/(1-x)^3))/(1-x)^2))
-
a(n) = n!*sum(k=0, n, (k+1)^(k-1)*binomial(n+2*k+1, n-k)/k!);
Showing 1-5 of 5 results.