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The Story of 1, 2, 7, 42, 429, 7436, …

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References

  1. G. E. Andrews, Plane Partitions (III): The weak Mac-donald conjecture,Invent. Math. 53 (1979), 193–225.

    Article  MATH  MathSciNet  Google Scholar 

  2. Guy David and Carlos Tomei, The problem of calissons,Amer. Math. Monthly 96 (1989), 429–431.

    Article  MATH  MathSciNet  Google Scholar 

  3. C. L. Dodgson, Condensation of determinants,Royal Society of London, Proceedings 15 (1866), 150–155.

    Article  Google Scholar 

  4. William F. Doran, A connection between alternating sign matrices and totally symmetric (2n,In, 2n)-self-complementary plane partitions, manuscript.

  5. I. P. Goulden and D. M. Jackson,Combinatorial Enumeration, New York: Wiley (1983).

    MATH  Google Scholar 

  6. C. G. J. Jacobi, De birds quibuslibet functionibus homo- geneis secundi ordinis per substitutiones lineares in alias binas transformandis, quae solis quadratis variabilium constant; una cum variis theorematis de Transformatione et determinatione integralium multiplicium,J. Reine Angew. Math. 12 (1834), 1–69.

    Article  MATH  Google Scholar 

  7. Ian G. Macdonald,Symmetric Functions and Hall Polynomials, Oxford: Clarendon Press (1979).

    MATH  Google Scholar 

  8. W. H. Mills and David P. Robbins, Symmetries of alternating sign matrices, manuscript.

  9. W. H. Mills, David P. Robbins, and Howard Rumsey, Jr., Proof of the Macdonald conjecture,Invent. Math. 66 (1982), 73–87.

    Article  MATH  MathSciNet  Google Scholar 

  10. W. H. Mills, David P. Robbins, and Howard Rumsey, Jr., Alternating sign matrices and descending plane partitions,J. Combin. Theory Ser. A 34 (1983), 340–359.

    Article  MATH  MathSciNet  Google Scholar 

  11. W. H. Mills, David P. Robbins, and Howard Rumsey, Jr., Enumeration of a symmetry class of plane partitions,Discrete Mathematics 67 (1987), 43–55.

    Article  MATH  MathSciNet  Google Scholar 

  12. W. H. Mills, David P. Robbins, and Howard Rumsey, Jr., Self-complementary totally symmetric plane partitions.J. Combin. Theory Ser. A 42 (1986), 277–292.

    Article  MATH  MathSciNet  Google Scholar 

  13. David P. Robbins and Howard Rumsey, Jr., Determinants and alternating sign matrices,Advances in Mathematics 62 (1986), 169–184.

    Article  MATH  MathSciNet  Google Scholar 

  14. Richard P. Stanley, Symmetries of plane partitions,J. Combin. Theory Ser. A 43 (1986), 103–113. Erratum, 44 (1987), 310.

    Article  MATH  MathSciNet  Google Scholar 

  15. Richard P. Stanley, A baker’s dozen of conjectures concerning plane partitions,Combinatoire Enumerative, Lecture Notes in Mathematics, Vol. 1234, New York: Springer-Verlag (1985), 285–293.

    Google Scholar 

  16. H. W. Turnbull,The Theory of Determinants, Matrices, and Invariants, New York: Dover (1960).

    MATH  Google Scholar 

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Robbins, D.P. The Story of 1, 2, 7, 42, 429, 7436, …. The Mathematical Intelligencer 13, 12–19 (1991). https://doi.org/10.1007/BF03024081

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