OFFSET
1,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 1..425
FORMULA
a(n) ~ exp(1) * sqrt(2*Pi/3) * n^(n + 3/2) / 2^(n+3). - Vaclav Kotesovec, Nov 22 2021
EXAMPLE
A(x) = x + 2x^2 + 9x^3 + 58x^4 + 469x^5 + 4530x^6 +...+ a(n)*x^n +...
A(x)^2 = x^2 + 4x^3 + 22x^4 + 152x^5 + 1251x^6 +...+ A062817(n)*x^n +...
MATHEMATICA
nmax = 20; CoefficientList[Series[(Sum[x^(k-2) * Sum[(k-j)^j * j^(k-j), {j, 0, k}], {k, 1, 2*nmax}])^(1/2), {x, 0, nmax}], x] (* Vaclav Kotesovec, Nov 22 2021 *)
PROG
(PARI) {a(n)=polcoeff((sum(m=2, n+1, sum(k=0, m, (m-k)^k*k^(m-k))*x^m +x*O(x^(n+1))))^(1/2), n)}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Aug 26 2007
STATUS
approved