Error in A115866

[N. J. A. Sloane]

Jonathan Post schrieb:
> See A127454 for something that happens between 8- and 9-dimenional
> hyperspheres and hypercubes.
> 
> 
Well this is interesting and somewhat surprising, but I do not see the link to
the _number_ of paths (_length_ would be related).

Using
paths[d_, n_] := Sum[Binomial[m, n]^d/2^(m + 1), {m, 0, ∞}]
(d = dimension, n stands for the point (n,n,...,n)).

I can not see any anomalies (at least for 1<= d,n <= 10).

As the calculation for these values ran for ~15 minutes, I attach a csv-file
for the impatient to experiment with.

row 1 corresponds to dimension=1 and so on.


Peter


Jonathan: sorry, I just used "reply" and forgot to change the address to seqfan.

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