A384856 E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x)^2)^3 ).

1, 1, 7, 28, -107, -11744, -519101, -12366080, -101065751, 19899785728, 2369020104991, 160985802059776, 8664193820140093, 137309806362677248, -48557247646714851365, -9196626471351773732864, -1230646715294157585659951, -124354471985557029636669440, -8657982884640209349171498569

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Formula

See A384860.

Prog

(PARI) a(n, k=-1) = if(n*k==0, 0^n, (-1)^n*k*sum(j=1, n, (-2*n+2*j+k)^(j-1)*binomial(n, j)*a(n-j, 3*j)));

Crossrefs

Column k=1 of A384860.

Cf. A052752, A213112, A213113, A384855, A384857, A384858.

Sequence in context: A000417 A200762 A243150 * A344206 A026642 A200467

Adjacent sequences: A384853 A384854 A384855 * A384857 A384858 A384859

Keyword

sign

Author

Seiichi Manyama, Jun 10 2025

Status

approved