... general formulae for Lk,nand Ln. For small n thevalues of K2,n, K3,nand R4,nare given by Sloane’s [142] A000166, A000186 and A000573,respectively. Exact formulae for Lk,n for k ... French. Doyle’s formula for Lk,nisgiven in a closed form and is used to compute previously unpublished values of L4,n,L5,nand L6,n. We reproduce the three formulae for Lk,nby Fu that ... gave practical formulae for the enumeration of Latin squaresthat can be used for computer enumeration, all of which are particularly suited for theuse of nauty [93]. However, these formulae are...