[seqfan] Re: A212046 should have an analogue from Pippenger, "The hypercube of resistors, asymptotic expansions, and preferential arrangements"

Charles Greathouse charles.greathouse at case.edu
Wed May 2 15:06:09 CEST 2012

I wonder if that constant should be added to the OEIS... if anyone has
the EE chops to calculate it.

Charles Greathouse
Case Western Reserve University

On Wed, May 2, 2012 at 4:35 AM, Georgi Guninski <guninski at guninski.com> wrote:
> Speaking of resistors, kxcd has an interesting problem about
> infinite grid of ideal one ohm resistors:
> http://xkcd.com/356/
> On Tue, May 01, 2012 at 11:25:55AM -0700, Jonathan Post wrote:
>> Shouldn't there be a 4-D analogue of A212046 Denominators in the
>> resistance triangle: T(k,n)=b, where b/c is the resistance distance
>> R(k,n) for k resistors in an n-dimensional cube.
>> See:
>> Nicholas Pippenger, "The hypercube of resistors, asymptotic
>> expansions, and preferential arrangements", arXiv: 0904.1757v1,
>> [math.CO], Apr 10, 2009, and also cites a 1914 book by Brooks and
>> Poyser.
>> Right now my PC refuses to open arxiv.org, so I can't easily supply
>> the fractions, nor formula given.
>> I am referring at the moment to a preview on
>> http://www.researchgate.net/publication/24269095_The_Hypercube_of_Resistors_Asymptotic_Expansions_and_Preferential_Arrangements
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