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A279928 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1+x^j)^(j*k) in powers of x. 6
1, 1, 0, 1, -1, 0, 1, -2, -1, 0, 1, -3, -1, -2, 0, 1, -4, 0, -2, 1, 0, 1, -5, 2, -1, 7, 0, 0, 1, -6, 5, 0, 15, 2, 4, 0, 1, -7, 9, 0, 23, -3, 10, 2, 0, 1, -8, 14, -2, 30, -20, 8, -8, 8, 0, 1, -9, 20, -7, 36, -51, 2, -42, 5, -2, 0, 1, -10, 27, -16, 42, -96, 5, -88, 6 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

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

FORMULA

G.f. of column k: Product_{j>=1} 1/(1+x^j)^(j*k).

EXAMPLE

Square array begins:

   1,  1,  1,  1,  1, ...

   0, -1, -2, -3, -4, ...

   0, -1, -1,  0,  2, ...

   0, -2, -2, -1,  0, ...

   0,  1,  7, 15, 23, ...

CROSSREFS

Columns k=0-5 give: A000007, A255528, A278710, A279031, A279411, A279932.

Main diagonal gives A281266.

Antidiagonal sums give A299212.

Cf. A255961, A277938.

Sequence in context: A156135 A047265 A185962 * A297325 A278528 A257261

Adjacent sequences:  A279925 A279926 A279927 * A279929 A279930 A279931

KEYWORD

sign,tabl

AUTHOR

Seiichi Manyama, Apr 11 2017

STATUS

approved

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Last modified February 15 22:28 EST 2019. Contains 320138 sequences. (Running on oeis4.)