OFFSET
0,8
COMMENTS
Row sums = A000041, the partition numbers.
FORMULA
The generating array is in A173302.
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, 176, ...
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, ...
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, ...
1, 1, 2, 3, 5, 7, 11, 15, 22, ...
1, ...
...
EXAMPLE
The finite difference array starts:
1, 1, 1, 1, 2, 2, 4, 4, 7, 8, 12, 14, 21, 24, ...; = A002865 (a variant)
1, 1, 2, 3, 4, 6, 8, 11, 15, 20, 26, 35, ...; = A027336
1, 1, 2, 3, 4, 6, 9, 12, 17, 23, 31, ...; = A017338
1, 1, 2, 3, 5, 7, 11, ...; = A027342
...
Last, columns of the array become rows of triangle A173304:
1;
1;
1, 1;
2, 2, 1;
2, 3, 2;
4, 4, 3;
4, 6, 4, 1;
7, 8, 6, 1;
8, 11, 9, 2;
12, 15, 12, 3;
14, 20, 17, 5;
21, 26, 23, 7;
24, 35, 31, 11;
34, 45, 41, 15;
41, 58, 55, 21, 1;
55, 75, 71, 29, 1;
66, 96, 93, 40, 2;
88, 121, 120, 53, 3;
105, 154, 154, 72, 5;
137, 193, 196, 94, 7;
...
CROSSREFS
KEYWORD
nonn,tabf,uned
AUTHOR
Gary W. Adamson, Feb 15 2010
STATUS
approved