Fiboquadratic numbers and Rithmomachia

References

[Bos56] C. de Bossière, Le très excellent et ancien Jeu Pythagorique, dit Rithmomachie...pour obtenir vraye et prompte habitude en tout nombre et proportion, nouvellement illustré par maistre Claude de Boissière,.... Paris. G. Cavellat, 1556.
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[Mil60] K. S. Miller, The Calculus of Finite Differences and Difference Equations. Dover Publications, Inc., New York, 1960.
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[Moy01] A. E. Moyer, The Philosophers’ Game. Rithmomachia in Medieval and Renaissance Europe. The University of Michigan Press, New York, 2001.
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[Ger26] N. of Gerasa, Introduction to Arithmetic. The University of Michigan Press, New York, 1926.
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[Oeis98] N. J. A. Sloane, The On-Line Encyclopedia of Integer Sequences. http://oeis.org/A006498.
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[Oeis99] N. J. A. Sloane, The On-Line Encyclopedia of Integer Sequences. http://oeis.org/A006499.
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[Sch68] D. Schrader, De Arithmetica, Book I, of Boethius. The Mathematics Teacher, Vol. 61, No. 6, 615–628, 1968.
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[SE11] D. E. Smith, and C. Eaton, Rithmomachia, The Great Medieval number Game. The American Mathematical Monthly, Vol. 18, No. 4, 73–80, 1911.
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