OFFSET
0,5
COMMENTS
LINKS
Paolo Xausa, Table of n, a(n) for n = 0..10301 (rows 0..200 of the triangle, flattened).
FORMULA
Triangle by columns, A000009 in every column shifted down twice for k > 0.
T(n,k) = A000009(n-2*k). - Paolo Xausa, Feb 21 2024
EXAMPLE
Triangle begins:
1;
1;
1, 1;
2, 1;
2, 1, 1;
3, 2, 1;
4, 2, 1, 1;
5, 3, 2, 1;
6, 4, 2, 1, 1;
8, 5, 3, 2, 1;
10, 6, 4, 2, 1, 1;
12, 8, 5, 3, 2, 1;
15, 10, 6, 4, 2, 1, 1;
18, 12, 8, 5, 3, 2, 1;
22, 15, 10, 6, 4, 2, 1, 1;
27, 18, 12, 8, 5, 3, 2, 1;
32, 22, 15, 10, 6, 4, 2, 1, 1;
38, 27, 18, 12, 8, 5, 3, 2, 1;
46, 32, 22, 15, 10, 6, 4, 2, 1, 1;
54, 38, 27, 18, 12, 8, 5, 3, 2, 1;
...
MATHEMATICA
Table[PartitionsQ[n-2*k], {n, 0, 15}, {k, 0, n/2}] (* Paolo Xausa, Feb 21 2024 *)
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Gary W. Adamson, Feb 15 2010
STATUS
approved