A385016 G.f. A(x) satisfies A(x) = 1 + x*A(x)/A(-x*A(x))^4.

1, 1, 5, 3, -51, -190, -401, 3672, 51925, 151539, -482538, -9063614, -79813421, -183787112, 1737820084, 22402935304, 179028179329, 459719628273, -4012720499801, -61168331089037, -556435825634630, -2299434933774430, 2674772917888194, 157684497102084776

Offset: 0

Author

Seiichi Manyama, Jun 15 2025

Keywords

• sign

Crossrefs

Column k=1 of A385020.

Cf. A384951, A385014, A385015.

Cf. A002294, A213233.

Cf. A384941.

Programs

PARI

a(n, k=-1) = if(n*k==0, 0^n, (-1)^n*k*sum(j=1, n, binomial(-n+j+k-1, j-1)*a(n-j, 4*j)/j));

Formula

See A385020.