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Timeline for Two-Dimensional Gobbling Algorithm

Current License: CC BY-SA 2.5

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Jun 28, 2010 at 16:28 comment added Martin Erickson Thank you for your kind responses. I had noticed that the one-dimensional case is answered very simply (the formula is given by the nth harmonic number), and wondered whether one could solve the two-dimensional version of the problem. We can derive a recurrence relation. Let e(m,n) be the expected number of outputs. Then e(m,n)=1+(1/(mn))Sum[e(m,n),{j,1,m-1},{k,1,n-1}], for m,n>1, and e(m,1)=1, e(1,n)=1. I wonder whether there is an explicit formula for e(m,n).
Jun 26, 2010 at 20:41 answer added Will Jagy timeline score: 1
Jun 26, 2010 at 14:03 comment added j.c. They all seem to be from here: www2.truman.edu/~erickson/openproblems.html
Jun 26, 2010 at 13:03 comment added Keenan Kidwell People on MO typically like to see some background or motivation for questions, an explanation as to why you're interested in the answer. All the questions you've asked recently are somewhat lacking in this regard.
Jun 26, 2010 at 12:58 history edited Martin Erickson CC BY-SA 2.5
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Jun 26, 2010 at 12:46 history asked Martin Erickson CC BY-SA 2.5