Nexus Number
المؤلف:
Conway, J. H. and Guy, R. K.
المصدر:
The Book of Numbers. New York: Springer-Verlag
الجزء والصفحة:
...
13-12-2020
1210
Nexus Number
A nexus number is a figurate number built up of the nexus of cells less than 
steps away from a given cell. The 
th 
-dimensional nexus number is given by
where 
is a binomial coefficient. The symbolic representations and sequences for first few 
-dimensional nexus numbers are given in the table below.
 |
 |
name |
| 0 |
1 |
unit |
| 1 |
 |
odd number |
| 2 |
 |
hex number |
| 3 |
 |
rhombic dodecahedral number |
| 4 |
 |
nexus number |
 |
OEIS |
 ,  ,  , ... |
| 0 |
|
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ... |
| 1 |
A005408 |
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, ... |
| 2 |
A003215 |
1, 7, 19, 37, 61, 91, 127, 169, 217, ... |
| 3 |
A005917 |
1, 15, 65, 175, 369, 671, 1105, 1695, 2465, ... |
| 4 |
A022521 |
1, 31, 211, 781, 2101, 4651, 9031, 15961, ... |
REFERENCES:
Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 53-54, 1996.
Sloane, N. J. A. Sequences A005408/M2400, A003215/M4362, A005917/M4968, and A022521 in "The On-Line Encyclopedia of Integer Sequences."
الاكثر قراءة في نظرية الاعداد
اخر الاخبار
اخبار العتبة العباسية المقدسة
