|
|
A249752
|
|
Triangle read by rows: T(n,k) = number of arrangements of n circles in the affine plane having k outer circles.
|
|
7
|
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
Consider the arrangements of n circles described in A250001.
T(n,k) is the number of arrangements of n circles in the affine plane whose perimeters are formed with parts from k circles. - Omar E. Pol, Aug 09 2015
Observation 1: column 1 gives A250001, at least if 1<=n<=4.
Observation 2: sum of n-th row = T(n+1,1), at least if 1<=n<=3. (End)
|
|
LINKS
|
|
|
EXAMPLE
|
Triangle begins:
1;
1, 2;
3, 5, 6;
14, 52, 60, 47;
...
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
EXTENSIONS
|
Corrected a(5)-a(6) and added a(7)-a(10) from Omar E. Pol, Oct 13 2015
|
|
STATUS
|
approved
|
|
|
|