Balancing in direction (1,-1) in Pascal's Triangle
In this paper, we study the problem of balancing binomial coefficients in Pascal's triangle. We give the complete solution in the direction (1,-1) for the first four cases of the possible rays. Some linked questions have been also examined.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Republic of Armenia National Academy of Sciences
2014-08-01
|
| Series: | Armenian Journal of Mathematics |
| Online Access: | http://test.armjmath.sci.am/index.php/ajm/article/view/100 |
| id |
doaj-9a0a645237744539bf5e6a0ad9145c14 |
|---|---|
| record_format |
Article |
| spelling |
doaj-9a0a645237744539bf5e6a0ad9145c142020-11-24T23:05:06ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632014-08-0161Balancing in direction (1,-1) in Pascal's TriangleHacene Belbachir0Laszlo Szalay1Faculty of Mathematics, USTHB El Alia, 16111, Algiers, AlgeriaInstitute of Mathematics, University of West Hungary Ady E. ´ut 5., Sopron, Hungary In this paper, we study the problem of balancing binomial coefficients in Pascal's triangle. We give the complete solution in the direction (1,-1) for the first four cases of the possible rays. Some linked questions have been also examined. http://test.armjmath.sci.am/index.php/ajm/article/view/100 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hacene Belbachir Laszlo Szalay |
| spellingShingle |
Hacene Belbachir Laszlo Szalay Balancing in direction (1,-1) in Pascal's Triangle Armenian Journal of Mathematics |
| author_facet |
Hacene Belbachir Laszlo Szalay |
| author_sort |
Hacene Belbachir |
| title |
Balancing in direction (1,-1) in Pascal's Triangle |
| title_short |
Balancing in direction (1,-1) in Pascal's Triangle |
| title_full |
Balancing in direction (1,-1) in Pascal's Triangle |
| title_fullStr |
Balancing in direction (1,-1) in Pascal's Triangle |
| title_full_unstemmed |
Balancing in direction (1,-1) in Pascal's Triangle |
| title_sort |
balancing in direction (1,-1) in pascal's triangle |
| publisher |
Republic of Armenia National Academy of Sciences |
| series |
Armenian Journal of Mathematics |
| issn |
1829-1163 |
| publishDate |
2014-08-01 |
| description |
In this paper, we study the problem of balancing binomial coefficients in Pascal's triangle. We give the complete solution in the direction (1,-1) for the first four cases of the possible rays. Some linked questions have been also examined.
|
| url |
http://test.armjmath.sci.am/index.php/ajm/article/view/100 |
| work_keys_str_mv |
AT hacenebelbachir balancingindirection11inpascalstriangle AT laszloszalay balancingindirection11inpascalstriangle |
| _version_ |
1725627566266515456 |