Jacobsthal numbers and alternating sign matrices

Darrin D. Frey; James Allen Sellers

Jacobsthal numbers and alternating sign matrices

Darrin D. Frey
, James Allen Sellers

Mathematics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

Let A(n) denote the number of n n alternating sign matrices and J _m the m ^th Jacobsthal number. It is known that A(n) = n Π=0 (3l+1)!/(n+l)! The values of A(n) are in general highly composite. The goal of this paper is to prove that A(n) is odd if and only if n is a Jacobsthal number, thus showing that A(n) is odd in nitely often.

Original language	English (US)
Journal	Journal of Integer Sequences
Volume	3
Issue number	2
State	Published - 2000

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

Cite this

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title = "Jacobsthal numbers and alternating sign matrices",

abstract = "Let A(n) denote the number of n n alternating sign matrices and J m the m th Jacobsthal number. It is known that A(n) = n Π=0 (3l+1)!/(n+l)! The values of A(n) are in general highly composite. The goal of this paper is to prove that A(n) is odd if and only if n is a Jacobsthal number, thus showing that A(n) is odd in nitely often.",

author = "Frey, \{Darrin D.\} and Sellers, \{James Allen\}",

year = "2000",

language = "English (US)",

volume = "3",

journal = "Journal of Integer Sequences",

issn = "1530-7638",

publisher = "University of Waterloo",

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T1 - Jacobsthal numbers and alternating sign matrices

AU - Frey, Darrin D.

AU - Sellers, James Allen

PY - 2000

Y1 - 2000

N2 - Let A(n) denote the number of n n alternating sign matrices and J m the m th Jacobsthal number. It is known that A(n) = n Π=0 (3l+1)!/(n+l)! The values of A(n) are in general highly composite. The goal of this paper is to prove that A(n) is odd if and only if n is a Jacobsthal number, thus showing that A(n) is odd in nitely often.

AB - Let A(n) denote the number of n n alternating sign matrices and J m the m th Jacobsthal number. It is known that A(n) = n Π=0 (3l+1)!/(n+l)! The values of A(n) are in general highly composite. The goal of this paper is to prove that A(n) is odd if and only if n is a Jacobsthal number, thus showing that A(n) is odd in nitely often.

UR - https://www.scopus.com/pages/publications/0242538808

UR - https://www.scopus.com/pages/publications/0242538808#tab=citedBy

M3 - Article

AN - SCOPUS:0242538808

SN - 1530-7638

VL - 3

JO - Journal of Integer Sequences

JF - Journal of Integer Sequences

IS - 2

ER -

Jacobsthal numbers and alternating sign matrices

Abstract

All Science Journal Classification (ASJC) codes

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