A292133 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 + k*x^j).

1, 1, 0, 1, -1, 0, 1, -2, 0, 0, 1, -3, 2, -1, 0, 1, -4, 6, -6, 1, 0, 1, -5, 12, -21, 14, -1, 0, 1, -6, 20, -52, 69, -26, 1, 0, 1, -7, 30, -105, 220, -201, 50, -1, 0, 1, -8, 42, -186, 545, -868, 591, -102, 2, 0, 1, -9, 56, -301, 1146, -2705, 3436, -1785, 214, -2, 0

Offset

0,8

Links

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

Example

Square array begins:
   1,  1,  1,   1,   1, ...
   0, -1, -2,  -3,  -4, ...
   0,  0,  2,   6,  12, ...
   0, -1, -6, -21, -52, ...
   0,  1, 14,  69, 220, ...

Crossrefs

Columns k=0..3 give A000007, A081362, A071109, A261582.

Rows n=0..1 give A000012, (-1)*A001477.

Main diagonal gives A292134.

Cf. A246935, A286957.

Sequence in context: A331923 A342129 A292861 * A304482 A309021 A307968

Adjacent sequences: A292130 A292131 A292132 * A292134 A292135 A292136

Keyword

sign,tabl

Author

Seiichi Manyama, Sep 09 2017

Status

approved