A110181 Row sums of number triangle A110180.
1, 2, 3, 6, 15, 42, 131, 432, 1497, 5420, 20373, 79422, 319927, 1328764, 5677653, 24904584, 111961129, 515029020, 2421047613, 11616330342, 56829235095, 283211069352, 1436529522233, 7410596379456, 38852645340297
Offset: 0
Formula
a(n)=sum{k=0..n, sum{j=0..floor((n-k)/2), C(n-k, j)C(n-k-j, j)k^j}}.