A385140 E.g.f. A(x) satisfies A(x) = exp(2*x*A(-x)^(1/2)).

1, 2, 0, -22, -16, 1042, 1792, -116758, -330496, 24101090, 96518144, -7976308118, -41609056256, 3875582805746, 25008143335424, -2601876338050582, -20048671462064128, 2308957345471798978, 20711293319504723968, -2618684079639256157974, -26823633677081126109184

Offset: 0

Author

Seiichi Manyama, Jun 19 2025

Keywords

• sign

Crossrefs

Cf. A141369, A385141.

Cf. A360987.

Programs

PARI

a(n) = 2*sum(k=0, n, (n-k+2)^(k-1)*(-k)^(n-k)*binomial(n, k));

Formula

E.g.f.: B(x)^2, where B(x) is the e.g.f. of A141369.

a(n) = 2 * Sum_{k=0..n} (n-k+2)^(k-1) * (-k)^(n-k) * binomial(n,k).