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A293377
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))^2.
4
1, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 7, 6, 0, 1, 2, 7, 10, 9, 0, 1, 2, 7, 16, 25, 14, 0, 1, 2, 7, 16, 31, 38, 22, 0, 1, 2, 7, 16, 39, 62, 78, 32, 0, 1, 2, 7, 16, 39, 70, 117, 116, 46, 0, 1, 2, 7, 16, 39, 80, 149, 206, 206, 66, 0, 1, 2, 7, 16, 39, 80, 159, 262, 362
OFFSET
0,5
LINKS
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, ...
0, 2, 2, 2, 2, ...
0, 3, 7, 7, 7, ...
0, 6, 10, 16, 16, ...
0, 9, 25, 31, 39, ...
0, 14, 38, 62, 70, ...
CROSSREFS
Columns k=0..1 give A000007, A022567.
Rows n=0 gives A000012.
Main diagonal gives A293378.
Product_{i>0} (1 + Sum_{j=1..k} j*x^(j*i))^m: A290217 (m=-1), A290216 (m=1), this sequence (m=2).
Sequence in context: A262881 A336820 A099173 * A159880 A289251 A353174
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Oct 07 2017
STATUS
approved