

A054106


Alternating sums of vertically aligned numbers in Pascal's triangle: T(n,k) = C(n,k)  C(n2,k1) + C(n4,k2)  ... + C(n2[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



