A293307 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/(1 + Sum_{j=1..k} (-1)^j*j*x^(j*i)).

1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 3, 0, 1, 1, 0, -1, 5, 0, 1, 1, 0, 2, -1, 7, 0, 1, 1, 0, 2, 5, 3, 11, 0, 1, 1, 0, 2, 1, 3, 3, 15, 0, 1, 1, 0, 2, 1, -5, 0, -1, 22, 0, 1, 1, 0, 2, 1, 0, 0, 11, -8, 30, 0, 1, 1, 0, 2, 1, 0, 10, 7, 25, -8, 42, 0, 1, 1, 0, 2, 1, 0

Offset

0,9

Links

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

Example

Square array begins:
   1, 1,  1, 1,  1, ...
   0, 1,  1, 1,  1, ...
   0, 2,  0, 0,  0, ...
   0, 3, -1, 2,  2, ...
   0, 5, -1, 5,  1, ...
   0, 7,  3, 3, -5, ...

Crossrefs

Columns k=0..2 give A000007, A000041, A293294.

Rows n=0..1 give A000012, A057427.

Main diagonal gives A122792.

Cf. A293293, A293305.

Sequence in context: A049310 A168561 A253190 * A293293 A228783 A230425

Adjacent sequences: A293304 A293305 A293306 * A293308 A293309 A293310

Keyword

sign,tabl

Author

Seiichi Manyama, Oct 05 2017

Status

approved