OFFSET
0,3
COMMENTS
The n-th term of the n-fold convolution of the powers of n.
FORMULA
a(n) = [x^n] 1/(1 - n*x)^n.
a(n) ~ 2^(2*n-1)*n^n/sqrt(Pi*n).
MATHEMATICA
Join[{1}, Table[n^n Binomial[2 n - 1, n], {n, 1, 16}]]
Join[{1}, Table[(-1)^n n^n Binomial[-n, n], {n, 1, 16}]]
Table[SeriesCoefficient[1/(1 - n x)^n, {x, 0, n}], {n, 0, 16}]
PROG
(PARI) a(n) = n^n*binomial(2*n-1, n); \\ Altug Alkan, Oct 04 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Oct 04 2017
STATUS
approved