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A300458 a(n) = [x^n] Product_{k=1..n} 1/(1 + x^k)^(n^k). 2
1, -1, -1, -10, 11, 374, 9792, 183847, 3469427, 65038049, 1195396233, 19667738452, 189089161562, -6219720781782, -606316892131934, -35104997710496175, -1795953382595105853, -88223902016631657740, -4283800987347611165184, -207864171877269042498096, -10102590396625592962089500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..20.

EXAMPLE

The table of coefficients of x^k in expansion of Product_{k>=1} 1/(1 + x^k)^(n^k) begins:

n = 0: (1),  0,    0,    0,   0,     0,  ...

n = 1:  1, (-1),   0,   -1,   1,    -1,  ...

n = 2:  1,  -2,  (-1),  -4,   3,    -2,  ...

n = 3:  1,  -3,   -3, (-10),  6,    15,  ...

n = 4:  1,  -4,   -6,  -20, (11),  104,  ...

n = 5:  1,  -5,  -10,  -35,  20,  (374), ...

MATHEMATICA

Table[SeriesCoefficient[Product[1/(1 + x^k)^(n^k), {k, 1, n}], {x, 0, n}], {n, 0, 20}]

CROSSREFS

Cf. A081362, A252654, A255526, A252782, A255672, A270917, A270922, A281266, A281267, A281268, A283333, A292805, A300456, A300457.

Sequence in context: A222473 A041217 A041218 * A041917 A318089 A109280

Adjacent sequences:  A300455 A300456 A300457 * A300459 A300460 A300461

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Mar 06 2018

STATUS

approved

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Last modified April 4 21:42 EDT 2020. Contains 333238 sequences. (Running on oeis4.)