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A329003 Numbers k such that the coefficient of x^k in the expansion of Product_{j>=2} (1 - x^Fibonacci(j)) is zero. 0
3, 5, 6, 9, 10, 15, 16, 17, 21, 25, 26, 27, 28, 32, 34, 35, 37, 41, 42, 43, 44, 45, 46, 50, 52, 53, 56, 57, 60, 61, 63, 67, 68, 69, 70, 71, 72, 73, 74, 75, 79, 81, 82, 85, 86, 91, 92, 93, 98, 99, 102, 103, 105, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers k such that number of partitions of k into an even number of distinct Fibonacci parts equals number of partitions of k into an odd number of distinct Fibonacci parts (1 counted as single Fibonacci number).

Positions of 0's in A093996.

Complement of A151661.

LINKS

Table of n, a(n) for n=1..65.

MATHEMATICA

Flatten[Position[Rest[CoefficientList[Series[Product[(1 - x^Fibonacci[j]), {j, 2, 21}], {x, 0, 130}], x]], 0]]

CROSSREFS

Cf. A000045, A000119, A003107, A090864, A093996, A151661.

Sequence in context: A269110 A182050 A094598 * A263654 A122194 A225005

Adjacent sequences: A329000 A329001 A329002 * A329004 A329005 A329006

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Nov 01 2019

STATUS

approved

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Last modified January 28 05:03 EST 2023. Contains 359850 sequences. (Running on oeis4.)