**List of abstracts of the papers that appeared in "Topics in Recreational Mathematics Volume 8" edited by Charles Ashbacher**

List of abstracts of the papers that
appeared in

**Topics in Recreational Mathematics Volume 8**edited by Charles Ashbacher, ISBN 978-1537333212**Nonamorphic Numbers Revisited**

Charles Ashbacher

cashbacher@yahoo.com

**Abstract**

In
volume 20, number 2 of

**Journal of Recreational Mathematics**, Charles W. Trigg defined a**nonamorphic number**to be a nonagonal number N(n) = n(7n – 5) / 2 that terminates in n. For example, N(25) = 2125 and N(625) = 1365625. The purpose of this paper is to report the results of a greater search for nonamorphic numbers.**Octamorphic Numbers Revisited**

Charles Ashbacher

cashbacher@yahoo.com

**Abstract**

In
volume 19, number 2 of

**Journal of Recreational Mathematics**, Charles W. Trigg defined an**octamorphic number**to be an octagonal number E(n) = n(3n – 2) that terminates in n. For example, E(25) = 1825 and E(625) = 1170625. The purpose of this paper is to report the results of a greater search for octamorphic numbers.**Pentamorphic Numbers Revisited**

Charles Ashbacher

cashbacher@yahoo.com

**Abstract**

In
volume 16, number 1 of

**Journal of Recreational Mathematics**, Charles W. Trigg defined a**pentamorphic number**to be a pentagonal number P(n) = n(3n – 1) / 2 that terminates in n. For example, P(25) = 925 and P(625) = 585625. The purpose of this paper is to report the results of a greater search for pentamorphic numbers.**African Horizons: A Math Enrichment Experience in Kenya**

Lamarr Widmer

Messiah College

widmer@messiah.edu

**Abstract**

The author’s most recent
teaching experience in Africa was one year of teaching mathematics at Daystar
University. This paper describes
challenges with the classroom culture at that institution and the author’s
attempt to motivate students through the use of mathematical activity of a more
recreational nature.

**The Life-Time of the World**

A.A.K. Majumdar

APU, 1-1 Jumonjibaru,
Beppu-shi 874-8577, Japan

majumdar@apu.ac.jp

**Abstract**

The legend is
that, at the creation of the world, there was a Tower of Hanoi with three poles
and 64 discs, in a temple. The priests there are in the process of transferring
the tower from one pole to another, in minimum number of moves, where each move
transfers one disc from one pole to another under the “divine rule” that no
disc can ever be placed on top of a smaller one. As soon as the task of the
priests would be completed, the world would come to an end. This paper examines
the different cases when a single relaxation of the “divine rule” is allowed.

**Keywords.**The Tower of Hanoi, divine rule, the life-time of the world.

**Palindromic Numbers and Iterations of the Pseudo-Smarandache Function**

Charles Ashbacher

**Abstract**

For n ≥
1, the Pseudo-Smarandache function Z(n) is the smallest integer m such that n
evenly divides 1 + 2 + 3 + . . . + m. In
this paper, some iterations of this function on palindromes that yield
palindromes are demonstrated.

This
paper was originally published in

ISBN 1-879585-58-8.

**Proceedings of the First International Conference on Smarandache Type Notions in Number Theory**, American Research Press, 1997.ISBN 1-879585-58-8.

**Divisibility and Periodicity Patterns and Palatable Number Tricks in the Jacobsthal Sequence**

Jay L. Schiffman

Rowan University

schiffman@rowan.edu

**Abstract**

The Jacobsthal sequence is a Fibonacci-like
sequence defined as follows:

J

_{0}= 0, J_{1}= 1 and J_{n}= J_{n-1 }+ 2 * J_{n-2}for n ≥ 2.
The initial few terms of this sequence are 0,
1, 1, 3, 5, 11, 21, 43, 85,…. This paper will explore divisibility
and periodicity patterns, early primes and palatable number tricks in this
sequence.

**Smarandache Bisymmetric Geometric Determinant Sequence**

A.A.K. Majumdar

APU,
1–1 Jumonjibaru, Beppu-shi 875–8577, Oita-ken, Japan

**Abstract**

In this paper, the concept of Smarandache bisymmetric
geometric determinant sequence has been introduced. An explicit form of the n

^{th}term is given.**Key Words**Smarandache bisymmetric geometric determinant sequence, n

^{th}term of the sequence.

**The NFL Draft, 2002-2014: Winners, Losers, and a**

New Draft Trade Value Chart

New Draft Trade Value Chart

Paul M. Sommers

Middlebury College

**Abstract**

Data on career approximate value (AV) of all
National Football League (NFL) players drafted between 2002 and 2014 show how
career AV varies by round, position, and team.
Career AVs of the drafted players are then used to assess winners and
losers in each of the thirteen annual NFL drafts. Finally, regression analysis is employed to
assign a trade value to each of the 224 players picked in a 32-team,
seven-round draft. These values are used
to evaluate the draft day trades in 2010 and which teams stand to benefit from
trades up to and during the 2015 NFL draft.

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