A293293 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=0..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, 5, -1, 7, 0, 1, 1, 0, 5, 11, 3, 11, 0, 1, 1, 0, 5, -13, 3, 3, 15, 0, 1, 1, 0, 5, -13, -45, 15, -1, 22, 0, 1, 1, 0, 5, -13, 75, 15, 77, -8, 30, 0, 1, 1, 0, 5, -13, 75, 255, -91, 76, -8, 42, 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,  5,   5, ...
   0, 5, -1, 11, -13, ...
   0, 7,  3,  3, -45, ...

Crossrefs

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

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

Main diagonal gives A293259.

Cf. A293071, A293285.

Sequence in context: A168561 A253190 A293307 * A228783 A230425 A230426

Adjacent sequences: A293290 A293291 A293292 * A293294 A293295 A293296

Keyword

sign,tabl,look

Author

Seiichi Manyama, Oct 05 2017

Status

approved