|
Search: id:A080381
|
|
|
| A080381 |
|
Triangle read by rows: GCD[C[n,Floor[n/2]],C[n,i], i=0,...n; greatest common divisor of binomial coefficients and corres ponding central binomial coefficient. |
|
+0
3
|
|
| 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 6, 2, 1, 1, 5, 10, 10, 5, 1, 1, 2, 5, 20, 5, 2, 1, 1, 7, 7, 35, 35, 7, 7, 1, 1, 2, 14, 14, 70, 14, 14, 2, 1, 1, 9, 18, 42, 126, 126, 42, 18, 9, 1, 1, 2, 9, 12, 42, 252, 42, 12, 9, 2, 1, 1, 11, 11, 33, 66, 462, 462, 66, 33, 11, 11, 1, 1, 12, 66, 44, 33, 132
(list; table; graph; listen)
|
|
|
OFFSET
|
1,5
|
|
|
EXAMPLE
|
Triangle begins:
1
1 1
1 2 1
1 3 3 1
1 2 6 2 1
1 5 10 10 5 1
1 2 5 20 5 2 1
1 7 7 35 35 7 7 1
|
|
MATHEMATICA
|
Table[Table[GCD[Binomial[n, j], Binomial[n, Floor[n/2]]], {j, 0, n}], {n, 1, 10}]
|
|
CROSSREFS
|
Cf. A007318, A001405.
Sequence in context: A048804 A132422 A065133 this_sequence A080396 A027948 A095141
Adjacent sequences: A080378 A080379 A080380 this_sequence A080382 A080383 A080384
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), Mar 12 2003
|
|
|
Search completed in 0.002 seconds
|
