triangular number counting function
For a given nonnegative number , the triangular number counting function counts how many triangular numbers are not greater than . The formula is simple:
in sharp contrast to the lack of a formula for the prime counting function . If one accepts 0 as a triangular number, the formula easily accommodates this by the mere addition of 1 after flooring the fraction.
References
- 1 Zhi-Wei Sun, “On Sums of Primes and Triangular Numbers” ArXiv preprint, 10 April (2008): 1
Title | triangular number counting function |
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Canonical name | TriangularNumberCountingFunction |
Date of creation | 2013-03-22 18:03:03 |
Last modified on | 2013-03-22 18:03:03 |
Owner | PrimeFan (13766) |
Last modified by | PrimeFan (13766) |
Numerical id | 5 |
Author | PrimeFan (13766) |
Entry type | Definition |
Classification | msc 11A25 |