|
Search: id:A082905
|
|
|
| A082905 |
|
Modified Pascal-triangle, read by rows. All C[n,j] binomial coefficients are replaced by C[n/g,j/g], where g=GCD[n,j]. |
|
+0
2
|
|
| 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 2, 4, 1, 1, 5, 10, 10, 5, 1, 1, 6, 3, 2, 3, 6, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 8, 4, 56, 2, 56, 4, 8, 1, 1, 9, 36, 3, 126, 126, 3, 36, 9, 1, 1, 10, 5, 120, 10, 2, 10, 120, 5, 10, 1, 1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1, 1, 12, 6, 4, 3, 792, 2
(list; graph; listen)
|
|
|
OFFSET
|
0,5
|
|
|
EXAMPLE
|
Triangle begins:
1
1,1,
1,2,1,
1,3,3,1,
1,4,2,4,1,
1,5,10,10,5,1,
1,6,3,2,3,6,1,
1,7,21,35,35,21,7,1,
1,8,4,56,2,56,4,8,1,
1,9,36,3,126,126,3,36,9,1,
1,10,5,120,10,2,10,120,5,10,1,
|
|
MATHEMATICA
|
Flatten[Table[Table[Binomial[n/GCD[n, j], j/GCD[n, j]], {j, 0, n}], {n, 1, 32}], 1]
|
|
CROSSREFS
|
Cf. A000005, A007318, A056045.
Adjacent sequences: A082902 A082903 A082904 this_sequence A082906 A082907 A082908
Sequence in context: A095140 A125605 A110570 this_sequence A141524 A116188 A049695
|
|
KEYWORD
|
nonn,tabf
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), Apr 23 2003
|
|
|
Search completed in 0.002 seconds
|
