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Feb 26, 2020 at 8:50 answer added Leucippus timeline score: 1
Jun 26, 2017 at 17:58 vote accept T. Amdeberhan
Jun 26, 2017 at 6:17 answer added Gjergji Zaimi timeline score: 14
Jun 26, 2017 at 2:52 comment added Christian Remling The first few $F_n=\sum F(n,k)x^k$ at least have the stronger property that every term of $\sum \int \ldots$ is an integer separately. If this is true in general, one can perhaps be optimistic about a proof since there is an explicit formula for the coefficients $F(n,k)$.
Jun 26, 2017 at 2:10 comment added T. Amdeberhan $F_3(1+3z)=9z^2+6z+2$, so $\int_0^1F_3(1+3z)dz=8$.
Jun 26, 2017 at 2:08 history edited T. Amdeberhan CC BY-SA 3.0
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Jun 26, 2017 at 0:08 comment added T. Amdeberhan Perhaps you were misled by a typo: $F_0(x)=0$.
Jun 26, 2017 at 0:07 history edited T. Amdeberhan CC BY-SA 3.0
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Jun 26, 2017 at 0:05 comment added Cherng-tiao Perng Did you check the case n=3 and k=1?
Jun 25, 2017 at 22:20 history asked T. Amdeberhan CC BY-SA 3.0