C(n,k) = C(n-1,k-1) + C(n-2,k-1) + ... + C(k-1,k-1), eq (1.29),
copied as eq (1.56) inside the stars-and-bars induction.
Arguments
- n, k
requires 1 <= k <= n.
Value
list(n, k, stick_sum, closed_form, n_terms, forms_agree).
References
Morin, D. J. (2016). Probability: For the Enthusiastic
Beginner. Createspace. Eqs. (1.29), (1.56).
Examples
HockStick(6, 3)$stick_sum
#> [1] 20
