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Enumeration of Magic Squares of the 5th Order

Nature volume 127, page 443 (21 March 1931) | Download Citation

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Abstract

In NATURE of Oct. 17, 1925, p. 573, I gave the above, but I was not then able to give the number of squares of B and C. I can now complete this. A has a ‘Heart’ magic in its 3 rows, 3 columns, and 2 diagonals, and with its 21 positions inside a square of 5th order has 649,168 squares. B has a ‘Heart’ with only its 3 rows, 3 columns magic, and with its 21 positions of all proportions from 52/13–26/39 has 720,388 squares. C has a ‘Heart’ without the number 13, and in its 18 positions has 3656 squares.

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  1. Barkston, Nr. Grantham, Lincs, Feb. 6.

    • J. C. BURNETT

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DOI

https://doi.org/10.1038/127443b0

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