A generalization of the Binomial Coefficient whose Notation was suggested by Knuth,
(1) |
(2) | |||
(3) |
(4) |
The Roman coefficients also satisfy properties like those of the Binomial Coefficient,
(5) |
(6) |
(7) |
(8) |
See also Binomial Coefficient, Roman Factorial
References
Roman, S. ``The Logarithmic Binomial Formula.'' Amer. Math. Monthly 99, 641-648, 1992.