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A292386 Expansion of Product_{k>=1} (1 - x^k)^(k*(k+1)/2). 4
1, -1, -3, -3, -1, 10, 20, 36, 28, -11, -103, -245, -397, -448, -214, 464, 1817, 3680, 5660, 6473, 4362, -3232, -18428, -41946, -70589, -94890, -96996, -49673, 78907, 317995, 673299, 1105044, 1491333, 1605102, 1094914, -479358, -3561322, -8404118, -14781724, -21595744, -26450603, -25329527 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Convolution inverse of A000294 (Euler transform of the triangular numbers).

LINKS

Table of n, a(n) for n=0..41.

FORMULA

G.f.: Product_{k>=1} (1 - x^k)^(k*(k+1)/2).

MATHEMATICA

nmax = 41; CoefficientList[Series[Product[(1 - x^k)^(k (k + 1)/2), {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A000294, A027999, A028377.

Sequence in context: A143911 A185422 A131889 * A174287 A186826 A185418

Adjacent sequences:  A292383 A292384 A292385 * A292387 A292388 A292389

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Sep 15 2017

STATUS

approved

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Last modified August 21 06:54 EDT 2019. Contains 326162 sequences. (Running on oeis4.)