Abstract
Consider an integer sequence counting the number of subsets of S of the set {1,2, . . . ,n } containing no three consecutive even integers. The sequence is associated with the Tribonacci sequence. Furthermore, we investigate some basic properties of the sequence.
Keywords
Tribonacci numbers recurrence relation consecutive even integers generating function combinatorial representation
References
- Bueno, A. C. F. (2015). A note on generalized Tribonacci sequence, Notes on Number Theory and Discrete Mathematics, 21, 67-69.
- Feinberg, M. (1963). Fibonacci–Tribonacci, Fibonacci Quarterly, 1, 71–74.
- Pethe, S. (1988). Some Identities for Tribonacci sequences, Fibonacci Q., 26, 144–151.
- Ramirez, J. L. and Sirvent, V. F. (2014), Incomplete Tribonacci numbers and polynomials, Journal of Integer Sequences, 17 Article 14.4.2.
- Shannon, A. (1977). Tribonacci numbers and Pascal’s pyramid, Fibonacci Q., 15, 268–275.
- Spickerman, W. and Joyner, R. N. Binets’s formula for the Recursive sequence of Order K, Fibonacci Q., 22, 327–331.
- Spickerman, W. (1982). Binet’s formula for the Tribonacci sequence, Fibonacci Q., 20, (118-120).
- Wilf, H. S. (1990). Generatingfunctionology, Academic Press.
- Yalavigi, C. C. (1972), Properties of Tribonacci numbers, Fibonacci Quarterly, 10 231–246.
- Yilmaz, N. and Taskara, N. (2014). Tribonacci and Tribonacci-Lucas Numbers via the Determinants of Special Matrices, Appl. Math. Sci., 8(39), 1947–1955.
Abstract
{1,2, . . . ,n } kümesinin ardışık üç çift tam sayı içermeyen S alt kümelerinin sayısını veren tam sayı dizisini alalım. Bu dizi Tribonacci sayı dizisi ile ilişkilendirildi. Ayrıca dizinin bazı temel özellikleri incelendi.
Keywords
Tribonacci sayıları rekürans bağıntı ardışık çift sayılar üreteç fonksiyon kombinatoryal gösterim
References
- Bueno, A. C. F. (2015). A note on generalized Tribonacci sequence, Notes on Number Theory and Discrete Mathematics, 21, 67-69.
- Feinberg, M. (1963). Fibonacci–Tribonacci, Fibonacci Quarterly, 1, 71–74.
- Pethe, S. (1988). Some Identities for Tribonacci sequences, Fibonacci Q., 26, 144–151.
- Ramirez, J. L. and Sirvent, V. F. (2014), Incomplete Tribonacci numbers and polynomials, Journal of Integer Sequences, 17 Article 14.4.2.
- Shannon, A. (1977). Tribonacci numbers and Pascal’s pyramid, Fibonacci Q., 15, 268–275.
- Spickerman, W. and Joyner, R. N. Binets’s formula for the Recursive sequence of Order K, Fibonacci Q., 22, 327–331.
- Spickerman, W. (1982). Binet’s formula for the Tribonacci sequence, Fibonacci Q., 20, (118-120).
- Wilf, H. S. (1990). Generatingfunctionology, Academic Press.
- Yalavigi, C. C. (1972), Properties of Tribonacci numbers, Fibonacci Quarterly, 10 231–246.
- Yilmaz, N. and Taskara, N. (2014). Tribonacci and Tribonacci-Lucas Numbers via the Determinants of Special Matrices, Appl. Math. Sci., 8(39), 1947–1955.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Articles |
| Authors | |
| Publication Date | November 30, 2021 |
| Published in Issue | Year 2021 Issue: 28 |
