A316723 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j=1..k} (1+x^j)/(1-x^j).

1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 4, 2, 0, 1, 2, 4, 6, 2, 0, 1, 2, 4, 8, 8, 2, 0, 1, 2, 4, 8, 12, 10, 2, 0, 1, 2, 4, 8, 14, 18, 12, 2, 0, 1, 2, 4, 8, 14, 22, 26, 14, 2, 0, 1, 2, 4, 8, 14, 24, 34, 34, 16, 2, 0, 1, 2, 4, 8, 14, 24, 38, 50, 44, 18, 2, 0, 1, 2, 4, 8, 14, 24, 40, 58, 70, 56, 20, 2, 0

Offset

0,5

Links

Seiichi Manyama, Antidiagonals n = 0..139, flattened

Example

Square array begins:
   1, 1,  1,  1,  1,  1,  1, ...
   0, 2,  2,  2,  2,  2,  2, ...
   0, 2,  4,  4,  4,  4,  4, ...
   0, 2,  6,  8,  8,  8,  8, ...
   0, 2,  8, 12, 14, 14, 14, ...
   0, 2, 10, 18, 22, 24, 24, ...
   0, 2, 12, 26, 34, 38, 40, ...

Crossrefs

Columns k=0-10 give: A000007, A040000, A004277, A053799, A053798, A053800, A053801, A053802, A069251, A069252, A069253.

Diagonal gives A015128.

Sequence in context: A284749 A062169 A113680 * A128187 A266477 A133121

Adjacent sequences: A316720 A316721 A316722 * A316724 A316725 A316726

Keyword

nonn,tabl

Author

Seiichi Manyama, Jul 11 2018

Status

approved