SQUARE ��� PENTAGONAL NUMBERS
| Autor: | Dr. R. Sivaraman |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| DOI: | 10.5281/zenodo.5829439 |
| Popis: | Among several types of numbers that exists, Figurate numbers play a significant role in understanding the behavior of positive integers. Figurate numbers were studied from ancient times to modern times and they continue to fascinate forever. Among several types of Figurate numbers, the square numbers and pentagonal numbers were very useful sequences of numbers applied in various combinatorial problems. In this paper, I will describe a novel method using continued fraction to determine numbers which are square numbers as well as pentagonal numbers. {"references":["1.\tElena Deza, Michel Marie Deza, Figurate Numbers, World Scientific, Singapore, 2012, 46 – 47. 2.\tMorris Kline, Mathematical Thought from Ancient to Modern Times, Oxford University Press, New York, 1972, 136 – 137. 3.\tDavid Pengelley, Figurate Numbers and Sums of Numerical Powers: Fermat, Pascal, Bernoulli, Convergence, Mathematical Association of America, July 2013 4.\tR. Sivaraman, Curious Fact about Figurate Numbers, CLIO UGC CARE Group I Journal, Volume 6, Issue 6, April 2020, pp. 541 – 546. 5.\tR. Sivaraman, Fraction Tree, Fibonacci Sequence and Continued Fractions, International Conference on Recent Trends in Computing (ICRTCE – 2021), Journal of Physics: Conference Series, IOP Publishing, 1979 (2021) 012039, 1 – 10."]} |
| Databáze: | OpenAIRE |
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