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A283272 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is expansion of Product_{j>=1} (1-x^j)^(j^k) in power of x. 15
1, 1, -1, 1, -1, -1, 1, -1, -2, 0, 1, -1, -4, -1, 0, 1, -1, -8, -5, 0, 1, 1, -1, -16, -19, -1, 4, 0, 1, -1, -32, -65, -9, 21, 4, 1, 1, -1, -64, -211, -55, 127, 49, 7, 0, 1, -1, -128, -665, -285, 807, 500, 81, 3, 0, 1, -1, -256, -2059, -1351, 5179, 4809, 1038, 45 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

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

FORMULA

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

EXAMPLE

Square array begins:

   1,  1,  1,   1,   1,    1, ...

  -1, -1, -1,  -1,  -1,   -1, ...

  -1, -2, -4,  -8, -16,  -32, ...

   0, -1, -5, -19, -65, -211, ...

   0,  0, -1,  -9, -55, -285, ...

   1,  4, 21, 127, 807, 5179, ...

CROSSREFS

Columns k=0-9 give A010815, A073592, A283263, A283264, A283271, A283336, A283337, A283338, A283339, A283340.

Row k=5 gives A281581.

Main diagonal gives A283333.

Cf. A144048.

Sequence in context: A221755 A110298 A144740 * A292166 A282192 A049501

Adjacent sequences:  A283269 A283270 A283271 * A283273 A283274 A283275

KEYWORD

sign,tabl

AUTHOR

Seiichi Manyama, Mar 04 2017

STATUS

approved

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Last modified February 18 23:26 EST 2018. Contains 299330 sequences. (Running on oeis4.)