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Figurate and pseudo-figurate numbers. (English) Zbl 1027.11020

Summary: The pseudo-hexagonal numbers arise in a natural way from a mathematical experiment and some results are noticed. The figurate and pseudo-figurate numbers are then defined and some general results is proved. From the general case we look at the triangular, square, pentagonal, and hexagonal numbers and their pseudo counterparts and observe some interesting connections.

MSC:

11B83 Special sequences and polynomials
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References:

[1] Anton H., Elementary Linear Algebra (1991)
[2] Haggard P., J. Elisha Mitchell Sci. Soc. 107 pp 56– (1991)
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