login
A290216
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of g.f. Product_{i>0} (1 + Sum_{j=1..k} j*x^(j*i)).
6
1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 3, 2, 0, 1, 1, 3, 2, 2, 0, 1, 1, 3, 5, 6, 3, 0, 1, 1, 3, 5, 6, 7, 4, 0, 1, 1, 3, 5, 10, 10, 12, 5, 0, 1, 1, 3, 5, 10, 10, 18, 13, 6, 0, 1, 1, 3, 5, 10, 15, 22, 25, 22, 8, 0, 1, 1, 3, 5, 10, 15, 22, 29, 34, 26, 10, 0, 1, 1, 3, 5
OFFSET
0,13
LINKS
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, ...
0, 1, 1, 1, 1, ...
0, 1, 3, 3, 3, ...
0, 2, 2, 5, 5, ...
0, 2, 6, 6, 10, ...
0, 3, 7, 10, 10, ...
CROSSREFS
Columns k=0..3 give A000007, A000009, A293204, A290269.
Rows n=0 gives A000012.
Main diagonal gives A077285.
Product_{i>0} (1 + Sum_{j=1..k} j*x^(j*i))^m: A290217 (m=-1), this sequence (m=1), A293377 (m=2).
Cf. A293305.
Sequence in context: A116604 A303913 A117406 * A293202 A280265 A292795
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Oct 06 2017
STATUS
approved