login
A133913
Array read by ascending antidiagonals generated from partial sums of A007001.
2
1, 1, 2, 1, 3, 1, 1, 4, 4, 2, 1, 5, 8, 6, 3, 1, 6, 13, 14, 9, 1, 1, 7, 19, 27, 23, 10, 2, 1, 8, 26, 46, 50, 33, 12, 1, 1, 9, 34, 72, 96, 83, 45, 13, 2, 1, 10, 43, 106, 168, 179, 128, 58, 15, 3, 1, 11, 53, 149, 274, 347, 307, 186, 73, 18, 1, 1, 12, 64, 202, 423, 621, 654, 493, 259, 91
OFFSET
1,3
COMMENTS
Given A007001: (1, 2, 1, 2, 3, 1, 2, 1, ...) as first row of an array, n-th row = partial sum sequence of (n-1)-th row.
Row sums = A133914: (1, 3, 5, 11, 23, 44, 89, 177, 355, ...).
Right border = A007001: (1, 2, 1, 2, 3, 1, 2, 1, ...).
EXAMPLE
First few rows of the array:
1, 2, 1, 2, 3, 1, 2, ...
1, 3, 4, 6, 9, 10, 12, ...
1, 4, 8, 14, 23, 33, 45, ...
1, 5, 13, 27, 50, 83, 128, ...
1, 6, 19, 46, 96, 179, 307, ...
...
First few rows of the triangle:
1;
1, 2;
1, 3, 1;
1, 4, 4, 2;
1, 5, 8, 6, 3;
1, 6, 13, 14, 9, 1;
1, 7, 19, 27, 23, 10, 2;
1, 8, 26, 46, 50, 33, 12, 1;
1, 9, 34, 72, 96, 83, 45, 13, 2;
1, 10, 43, 106, 168, 179, 128, 58, 15, 3;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Sep 28 2007
EXTENSIONS
Edited by Jon E. Schoenfield, Mar 26 2022
STATUS
approved