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Related: https://en.wikipedia.org/wiki/Triangular_number https://en.wikipedia.org/wiki/Triangular_number https://en.wikipedia.org/wiki/Tetrahedral_number http
by peter_d_sherman 4y ago
Related:
https://en.wikipedia.org/wiki/Triangular_number https://en.wikipedia.org/wiki/Triangular_number
https://en.wikipedia.org/wiki/Tetrahedral_number https://en.wikipedia.org/wiki/Tetrahedral_number
https://en.wikipedia.org/wiki/Geometric_progression https://en.wikipedia.org/wiki/Geometric_progression
https://en.wikipedia.org/wiki/Square_triangular_number https://en.wikipedia.org/wiki/Square_triangular_number
https://en.wikipedia.org/wiki/Category:Figurate_numbers https://en.wikipedia.org/wiki/Category:Figurate_numbers
https://en.wikipedia.org/wiki/Sixth_power https://en.wikipedia.org/wiki/Sixth_power
>"The sixth powers of integers can be characterized as the numbers that are simultaneously squares and cubes.[1] In this way, they are analogous to two other classes of figurate numbers: the square triangular numbers, which are simultaneously square and triangular, and the solutions to the cannonball problem, which are simultaneously square and square-pyramidal."
(What might be interesting for someone in the future to do: Put together a list of all Integer Sequences that are the results of integer geometric progressions (I can't seem to find a good web page for this!), along with all of their properties... Also -- there are probably additional interesting sequences existing as the superset or subset of two or more lists of Integer Sequences that are the results of integer geometric progressions...)