OFFSET
0,3
FORMULA
a(0) = 1; a(n) = Sum_{k=1..n} binomial(n-1,k-1) * A000111(k+1) * a(n-k).
a(n) ~ 2^(n + 2/3) * exp(8/(3*Pi^2) - 5/6 + 2^(5/3) * n^(1/3) / Pi^(4/3) + 3 * 2^(1/3) * n^(2/3) / Pi^(2/3) - n) * n^(n - 1/6) / (sqrt(3) * Pi^(n + 1/3)). - Vaclav Kotesovec, Jan 26 2020
MATHEMATICA
nmax = 20; CoefficientList[Series[Exp[1/(1 - Sin[x]) - 1], {x, 0, nmax}], x] Range[0, nmax]!
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 22 2020
STATUS
approved