|
| |
|
|
A129686
|
|
Triangle read by rows: row n is 0^(n-3), 1, 0, 1.
|
|
10
|
|
|
|
1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Alternate term operator, sums.
Let A129686 = matrix M, with V any sequence as a vector. Then M*V is the alternate term sum operator. Given V = [1,2,3,...], M*V = [1, 2, 4, 6, 8, 10, 12, 14,...]. The analogous operation using A097807, (the pairwise operator), gives [1, 3, 5, 7, 9, 11, 13, 15,..]. Binomial transform of A129686 = A124725. A129686 * A007318 = A129687. Row sums of A129686 = (1, 1, 2, 2, 2,...).
|
|
|
LINKS
|
Table of n, a(n) for n=1..45.
|
|
|
FORMULA
|
As an infinite lower triangular matrix, (1,1,1,...) in the main diagonal, (0,0,0,...) in the subdiagonal and (1,1,1,...) in the subsubdiagonal; with the rest zeros. (1, 0, 1, 0, 0, 0,...) in every column.
|
|
|
EXAMPLE
|
First few rows of the triangle are:
1;
0, 1;
1, 0, 1;
0, 1, 0, 1
0, 0, 1, 0, 1;
0, 0, 0, 1, 0, 1;
...
|
|
|
CROSSREFS
|
Cf. A124725, A129687.
Sequence in context: A169591 A004539 A023960 * A104974 A024711 A128174
Adjacent sequences: A129683 A129684 A129685 * A129687 A129688 A129689
|
|
|
KEYWORD
|
nonn,tabl
|
|
|
AUTHOR
|
Gary W. Adamson, Apr 28 2007
|
|
|
STATUS
|
approved
|
| |
|
|
