Solvable Lie algebras with triangular nilradicals

All finite-dimensional indecomposable solvable Lie algebras $L(n,f)$, having the triangular algebra T(n) as their nilradical, are constructed. The number of nonnilpotent elements $f$ in $L(n,f)$ satisfies $1\le f\le n-1$ and the dimension of the Lie algebra is $\dim L(n,f)=f+1\mathrm{/}2n(n-1)$.