Over this weekend’s three BSO concerts, Andris Nelsons and his frequent collaborator, English pianist Paul Lewis, perform all five of Ludwig van Beethoven’s piano concertos. Each of these concerts opens with a BSO co-commissioned piece by an American woman. The American composer Julia Adolphe has been praised for the sonic and narrative inventiveness of her music. About her new work, she says, “Makeshift Castle captures contrasting states of permanence and ephemerality, of perseverance and disintegration, of determination and surrender.” The Second and Third concertos were composed about five years apart. While both were strongly influenced by Wolfgang Mozart’s concertos, No. 3 in C minor exhibits more of Beethoven’s flair for drama and innovation.