OFFSET
0,3
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..200
FORMULA
a(n) ~ 2^(4*n - 49/18) * n^(n-2) / (3^(11/8) * exp(n - 1/12)).
MATHEMATICA
nmax = 20; A = 1; Do[A = 1 + Integrate[D[x/A^8, x]/D[x/A^9, x], x] + O[x]^nmax, nmax]; CoefficientList[A, x] * Range[0, nmax - 1]!
PROG
(PARI) {a(n) = my(A=1); for(i=1, n, A = 1 + intformal( (x/A^8)'/(x/A^9 +x*O(x^n))' ); ); n!*polcoeff(A, n)}
for(n=0, 20, print1(a(n), ", "))
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Oct 15 2020
STATUS
approved