|
| |
|
|
A054106
|
|
Alternating sums of vertically aligned numbers in Pascal's triangle: T(n,k) = C(n,k) - C(n-2,k-1) + C(n-4,k-2) - ... +- C(n-2[n/2],m).
|
|
4
|
|
|
|
1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 5, 3, 1, 1, 4, 8, 8, 4, 1, 1, 5, 12, 15, 12, 5, 1, 1, 6, 17, 27, 27, 17, 6, 1, 1, 7, 23, 44, 55, 44, 23, 7, 1, 1, 8, 30, 67, 99, 99, 67, 30, 8, 1, 1, 9, 38, 97, 166, 197, 166, 97, 38, 9, 1, 1, 10, 47, 135, 263, 363, 363
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,8
|
|
|
LINKS
|
|
|
|
FORMULA
|
|
|
|
EXAMPLE
|
Rows: {1}; {1,1}; {1,1,1}; {1,2,2,1}; {1,3,5,3,1} ...
|
|
|
CROSSREFS
|
For (nonalternating) vertically aligned sums, see A013580.
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
