ON SUMS OF TWO OR THREE PENTAGONAL NUMBERS

Neville Robbins (USA)

Received November 23, 2007

References:

[1] T. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976. [2] J. A. Ewell, On representations of numbers by sums of two triangular numbers, Fibonacci Quart. 25 (1987), 175-178. [3] J. A. Ewell, Recursive determination of the enumerator for sums of three squares, Int. J. Math. Math. Sci. 24 (2000), 529-532. [4] D. Flath, Introduction to Number Theory, John Wiley & Sons, 1989. [5] E. Grosswald, Representations of Integers as Sums of Squares, Springer-Verlag, 1985. [6] I. Niven, H. S. Zuckerman and D. L. Montgomery, The Theory of Numbers, 5th ed., John Wiley & Sons, 1991. [7] K. Ono, S. Robins and P. Wahl, The representation of integers as sums of triangular numbers, Aequationes Math. 50 (1995), 73-94.

Keywords and phrases: pentagonal numbers.