A Simple Method to Generate Integer Sequences
DOI: 10.4236/oalib.1105502 , PP. 1-35
Subject Areas:
Mathematical Analysis
Keywords: Integer Sequences , Mixed Power Sums of Trigonometric Functions
Abstract
We will use a simple method to generate integer sequences whose terms are sums of mixed powers of trigonometric values at angles of a heptagonal triangle. Our results include many new integer sequences and some sequences which are discovered using different methods.
Cite this paper
Wang, K. (2019). A Simple Method to Generate Integer Sequences. Open Access Library Journal , 6, e5502. doi: http://dx.doi.org/10.4236/oalib.1105502 .
References
[1 ] Recurrence Relation. https://en:wikipedia.org/wiki/Recurrencerelation
[2 ] The On-Line Encyclopedia of Integer Sequences. https://oeis:org/wiki/Welcome
[3 ] Wang, K. Integer Sequences for the Sum of Powers of Trigonometric Values, to Appear.
[4 ] Witula, R. (2009) Ramanujan Type Trigonometric Formulas: The General Form for the Argument 2π/7. Journal of Integer Sequences, 12, 1-23.
[5 ] Witula, R. (2010) Full Description of Ramanujan Cubic Polynomials. Journal of Integer Sequences, 13, Article 10.5.7.
[6 ] Witula, R. (2010) Ramanujan Cubic Polynomials of the Second Kind. Journal of Integer Sequences, 13, Article: 10.7.5.
[7 ] Witula, R. (2012) Ramanujan Type Trigonometric Formulae. Demonstratio Mathematica, 45, 779-796. https://doi.org/10.1515/dema-2013-0418
[8 ] Bankoff, L. and Garfunkel, J. (1973) The Heptagonal Triangle. Mathematics Magazine, 46, 7-19. https://doi.org/10.2307/2688574
[9 ] Heptagonal Triangle. https://en.wikipedia.org/wiki/Heptagonal_triangle
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