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The sum of C(j, k-1) over j = k-1, ..., n-1 equals C(n, k). Mirrors morie.fn ...1e29.

Usage

morie_hockey_stick(n, k)

Arguments

n, k

identity parameters, 1 <= k <= n.

Value

list(sum, binomial, holds).

References

Morin (2016), eq. (1.29).

Examples

morie_hockey_stick(6, 2)$holds
#> [1] TRUE