A357381 Expansion of Product_{k>=1} 1 / (1 + x^Fibonacci(k)).

1, -2, 2, -3, 5, -7, 9, -11, 13, -16, 20, -23, 26, -31, 36, -41, 48, -55, 62, -71, 81, -92, 104, -116, 129, -145, 163, -180, 198, -219, 242, -267, 293, -320, 349, -381, 416, -452, 489, -529, 572, -618, 668, -719, 771, -829, 892, -956, 1023, -1094, 1167, -1246, 1331, -1416, 1504

Offset

0,2

Comments

Convolution inverse of A000121.

Links

Table of n, a(n) for n=0..54.

Mathematica

nmax = 54; CoefficientList[Series[Product[1/(1 + x^Fibonacci[k]), {k, 1, 21}], {x, 0, nmax}], x]

Crossrefs

Cf. A000045, A000121, A298949, A357380.

Sequence in context: A126881 A290273 A125505 * A061565 A077075 A369570

Adjacent sequences: A357378 A357379 A357380 * A357382 A357383 A357384

Keyword

sign

Author

Ilya Gutkovskiy, Sep 26 2022

Status

approved