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Counting forumula for 3 × 3 generalized magic squares

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Abstract

The aim of this article is to explicitly compute the number of generalized magic squares of order 3. Counting functions for (generalized) magic squares of order n with fixed line sum r is known to be a polynomial function in r over ℚ of degree (n−1)2. For higher values of n, it is quite difficult to explicitly write down such counting functions.

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Authors and Affiliations

  1. IISER, MGSIPA Complex, Chandigarh, 160019, India

    Chanchal Kumar

  2. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad, 211 019, India

    Pavinder Singh

  3. Department of Mathematics, University of Jammu, Jammu, 180 006, India

    Ashok Kumar

Authors
  1. Chanchal Kumar
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  2. Pavinder Singh
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  3. Ashok Kumar
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Correspondence to Chanchal Kumar.

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Kumar, C., Singh, P. & Kumar, A. Counting forumula for 3 × 3 generalized magic squares. Reson 15, 733–736 (2010). https://doi.org/10.1007/s12045-010-0082-9

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  • DOI: https://doi.org/10.1007/s12045-010-0082-9

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