[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
Analyst/Programmer
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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