This note presents the solution to the problem of obtaining the full null distribution for the bivariate sign test proposed by J. L. Hodges, Jr., in 1955 . The partial solution of  is completed, and the table of  is extended to give the full distribution up to a sample size $(n)$ of 30. In addition a partial table is included for sample size from 31 to 50.
"Null Distribution of the Hodges Bivariate Sign Test." Ann. Math. Statist. 30 (4) 1029 - 1033, December, 1959. https://doi.org/10.1214/aoms/1177706086