1 citations · 1 across the 4 of their papers we have counts for
4 papers
Cassini's identity for k-bonacci numbers
Harold R. Parks, Dean C. Wills
Efforts have been made to extend Cassini's identity (also known as Simson's identity) to the k-step or k-bonacci numbers for decades. These efforts have lacked both completeness of…
Two eggs any style -- generalizing egg-drop experiments
Harold R. Parks, Dean C. Wills
The egg-drop experiment introduced by Konhauser, Velleman, and Wagon, later generalized by Boardman, is further generalized to two additional types. The three separate types of egg…
An Elementary Proof of the Generalization of the Binet Formula for -bonacci Numbers
Harold R. Parks, Dean C. Wills
We present an elementary proof of the generalization of the -bonacci Binet formula, a closed form calculation of the -bonacci numbers using the roots of the characteristic po…
Sums of -bonacci Numbers
Harold R. Parks, Dean C. Wills
We give a combinatorial proof of a formula giving the partial sums of the -bonacci sequence as alternating sums of powers of two multiplied by binomial coefficients. As a coroll…