A290217 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} j*x^(j*i)).

1, 1, 0, 1, -1, 0, 1, -1, 0, 0, 1, -1, -2, -1, 0, 1, -1, -2, 3, 1, 0, 1, -1, -2, 0, -1, -1, 0, 1, -1, -2, 0, 5, -5, 1, 0, 1, -1, -2, 0, 1, 1, 9, -1, 0, 1, -1, -2, 0, 1, 9, -12, 3, 2, 0, 1, -1, -2, 0, 1, 4, -4, -3, -20, -2, 0, 1, -1, -2, 0, 1, 4, 6, -15, 31, 16, 2

Offset

0,13

Links

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

Example

Square array begins:
   1,  1,  1,  1,  1, ...
   0, -1, -1, -1, -1, ...
   0,  0, -2, -2, -2, ...
   0, -1,  3,  0,  0, ...
   0,  1, -1,  5,  1, ...
   0, -1, -5,  1,  9, ...

Crossrefs

Columns k=0..3 give A000007, A081362, A293287, A290395.

Rows n=0..1 give A000012, (-1)*A057427.

Main diagonal gives A258210.

Cf. A290216, A293307.

Sequence in context: A344164 A109702 A115412 * A293285 A262553 A247506

Adjacent sequences: A290214 A290215 A290216 * A290218 A290219 A290220

Keyword

sign,tabl

Author

Seiichi Manyama, Oct 06 2017

Status

approved