충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제32권1호
  • /
  • Pages.97-111
  • /
  • 2019
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

k SPACED SUM OF GENERALIZED PELL SEQUENCES

  • Choi, Eunmi (Department of Mathematics HanNam University) ;
  • Jo, Jiin (Department of Mathematics HanNam University)
  • 투고 : 2018.09.25
  • 심사 : 2019.02.01
  • 발행 : 2019.02.15
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The purpose of work is to study the sums of k distanced numbers in Pell sequence {$P_i$} as well as in the generalized ${\lambda}-Pell$ sequence {$P_{{\lambda},i}$}.

키워드

참고문헌

  1. B. Bradie, Extensions and refinements of some properties of sums involving Pell numbers, Missouri J. Math. Sci. 22 (2010), 37-43. https://doi.org/10.35834/mjms/1312232719
  2. Z. Cerin and G.M. Gianella, On sums of squares of Pell-Lucas numbers, Integers: Electronic J. Combinatorial Number theory 6 (2006), no. A15, 16 pages.
  3. E. Choi and J. Jo, On partial sum of tribonacci numbers, Int. J. of Math. and Mathematical Science, 2015 (2015), ID 301814, 8 pages.
  4. A. F. Horadam, Pell identities, Fibo. Quart. 9 (1971), 245-252.
  5. A. F. Horadam, Jacobsthal representation numbers, Fibo. Quart. 34 (1996), 40-54.
  6. E. Kilic, Tribonacci sequences with certain indices and their sums, Ars. Comb. 86 (2008), 13-22.
  7. R. Melham, Sums involving Fibonacci and Pell numbers, Portugaliae Mathematica, 56 (1999), 309-317.
  8. S. F. Santana and J. L. Daz-Barrero, Some properties of sums involving Pell numbers, Missouri J. Math. Sci. 18 (2006), 33-40. https://doi.org/10.35834/2006/1801033