A362339 -id:A362339 - cp's OEIS frontend

A362337 a(n) = n! * Sum_{k=0..floor(n/2)} (-k)^k / (k! * (n-2*k)!).

1, 1, -1, -5, 37, 221, -2549, -21041, 342665, 3604537, -75816809, -970017949, 25012223149, 377031935125, -11513789879773, -199833956857289, 7052339905578001, 138505710577529969, -5546345926322582225, -121599560980889072693, 5447342134797972438581

Offset: 0

Seiichi Manyama, Apr 17 2023

sign

Eric Weisstein's World of Mathematics, Lambert W-Function.

Cf. A069856, A362338, A362339.

Cf. A362347.

my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^2))))

E.g.f.: exp(x) / (1 + LambertW(x^2)).

A362338 a(n) = n! * Sum_{k=0..floor(n/3)} (-k)^k / (k! * (n-3*k)!).

Original entry on oeis.org

1, 1, 1, -5, -23, -59, 1321, 9871, 39985, -1512503, -16027919, -89148509, 4751428441, 65256458125, 461686022617, -31737431328329, -535583971806239, -4599769739165039, 387180506424212065, 7750866424109754187, 78298694889496869961, -7798395141074580424619

Offset: 0

Seiichi Manyama, Apr 17 2023

sign

Eric Weisstein's World of Mathematics, Lambert W-Function.

Cf. A069856, A362337, A362339.

Cf. A362348.

my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^3))))

E.g.f.: exp(x) / (1 + LambertW(x^3)).

cp's OEIS Frontend

A362337 a(n) = n! * Sum_{k=0..floor(n/2)} (-k)^k / (k! * (n-2*k)!).

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