A362188
Expansion of e.g.f. exp(x/(1-3*x)^(2/3)).
Original entry on oeis.org
1, 1, 5, 43, 513, 7781, 142861, 3075255, 75879553, 2110145833, 65275127541, 2222656864451, 82595058938305, 3325666654250253, 144214230714973693, 6700048267934377231, 331988586859256529921, 17475202293073669341905, 973765103770578798536293
Offset: 0
A362205
Expansion of e.g.f. exp(x/(1-3*x)^(1/3)).
Original entry on oeis.org
1, 1, 3, 19, 185, 2401, 38731, 745123, 16630769, 422157025, 12005107091, 377957000851, 13048046175913, 490052749100929, 19890724260375515, 867582126490694371, 40467070835396193761, 2009901604798183428673, 105901641663222888913699
Offset: 0
A362166
Expansion of e.g.f. exp(-x * (1-3*x)^(1/3)).
Original entry on oeis.org
1, -1, 3, -1, 41, 299, 4531, 74507, 1474481, 33540119, 864507491, 24891022199, 791755864153, 27571976573699, 1043247441846611, 42615848603499779, 1869129393654945761, 87605345727468933167, 4369604246576366377411, 231091472431638655755119
Offset: 0
-
A362166 := proc(n)
(-1)^n*n!*add(3^k * binomial((n-k)/3,k)/(n-k)!,k=0..n) ;
end proc:
seq(A362166(n),n=0..70) ; # R. J. Mathar, Dec 04 2023
-
my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-x*(1-3*x)^(1/3))))
Showing 1-3 of 3 results.