A357380 Expansion of Product_{k>=1} (1 - x^Fibonacci(k)).

1, -2, 0, 1, 1, -1, 0, 1, -2, 1, 0, 1, -2, 0, 2, -1, 0, 0, 1, -2, 0, 1, 1, 0, -2, 1, 0, 0, 0, 1, -2, 0, 1, 1, -1, 0, 1, -1, -1, 0, 2, -1, 0, 0, 0, 0, 0, 1, -2, 0, 1, 1, -1, 0, 1, -2, 1, 0, 1, -2, 1, 0, -1, 1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 1, -1, 0, 1, -2, 1, 0, 1, -2, 0, 2, -1, 0, 0, 1, -2, 0, 2, -1, 0, -1

Offset: 0

Author

Ilya Gutkovskiy, Sep 26 2022

Keywords

• sign

Comments

Convolution inverse of A007000.

First differences of A093996.

Crossrefs

Cf. A000045, A007000, A093996, A357381.

Programs

Mathematica

nmax = 100; CoefficientList[Series[Product[(1 - x^Fibonacci[k]), {k, 1, 21}], {x, 0, nmax}], x]