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Shannon Labs

3 papers hereh-index 324 citations3 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

fields
  • math.CO2
  • math.NT1

identity via Semantic Scholar / OpenAlex

activity
20032010
most citedThe Toothpick Sequence and Other Sequences from Cellular Automata

6 citations · 16 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2010★ 6 cited

The Toothpick Sequence and Other Sequences from Cellular Automata

David Applegate, Omar E. Pol, N. J. A. Sloane

A two-dimensional arrangement of toothpicks is constructed by the following iterative procedure. At stage 1, place a single toothpick of length 1 on a square grid, aligned with the…

math.CO2009★ 4 cited

The Gift Exchange Problem

David Applegate, N. J. A. Sloane

The aim of this paper is to solve the "gift exchange" problem: you are one of n players, and there are n wrapped gifts on display; when your turn comes, you can either choose any o…

math.NT2003★ 6 cited

Numerical Analogues of Aronson's Sequence

Benoit Cloitre, N. J. A. Sloane, Matthew J. Vandermast

Aronson's sequence 1, 4, 11, 16, ... is defined by the English sentence ``t is the first, fourth, eleventh, sixteenth, ... letter of this sentence.'' This paper introduces some num…

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