OFFSET
0,33
COMMENTS
A(n,k) is the number of partitions of n into parts 2, 3, ..., k and k + 1.
LINKS
David A. Corneth, Table of n, a(n) for n = 0..10010 (first 141 rows antidiagonals flattened)
FORMULA
G.f. of column k: Product_{j=2..k+1} 1/(1 - x^j).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
0, 0, 0, 0, 0, 0, ...
0, 1, 1, 1, 1, 1, ...
0, 0, 1, 1, 1, 1, ...
0, 1, 1, 2, 2, 2, ...
0, 0, 1, 1, 2, 2, ...
MATHEMATICA
Table[Function[k, SeriesCoefficient[Product[1/(1 - x^j), {j, 2, k + 1}], {x, 0, n}]][i - n], {i, 0, 13}, {n, 0, i}] // Flatten
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Ilya Gutkovskiy, Apr 10 2020
STATUS
approved