Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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IDENTITIES INVOLVING TRIBONACCI NUMBERS

  • Choi, Eunmi (Department of Mathematics HanNam University) ;
  • Jo, Jiin (Department of Mathematics HanNam University)
  • Received : 2014.07.15
  • Accepted : 2015.01.19
  • Published : 2015.02.15
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Abstract

The kt + r subscripted tribonacci numbers will be expressed by three k step apart tribonacci numbers for any 0 < r < $k{\in}\mathbb{Z}$.

Keywords

References

  1. E. Choi. Modular tribonacci numbers by matrix method, J. Korean Soc. Mathe. Educ.: Pure Appl. Math. 20 (2013), no. 3, 207-221.
  2. J. Feng, More identities on the tribonacci numbers, Ars Comb. 100 (2011), 73-78.
  3. N. Irmak and M. Alp, Tribonacci numbers with indices in arithmetic progression and their sums, Miskolc Math. Notes 14 (2013), 125-133.
  4. E. Kilic, Tribonacci sequences with certain indices and their sums, Ars. Comb. 86 (2008), 13-22.
  5. S. Pethe, Some identities for tribonacci sequence, The Fibo. Quart. 26 (1988), no. 2, 144-151.

Cited by

  1. On Partial Sum of Tribonacci Numbers vol.2015, 2015, https://doi.org/10.1155/2015/301814