Öz
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.
Anahtar Kelimeler
Tribonacci numbers recurrence relation consecutive even integers generating function combinatorial representation
Kaynakça
- 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.
Öz
{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.
Anahtar Kelimeler
Tribonacci sayıları rekürans bağıntı ardışık çift sayılar üreteç fonksiyon kombinatoryal gösterim
Kaynakça
- 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.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Mühendislik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Kasım 2021 |
| Yayımlandığı Sayı | Yıl 2021 Sayı: 28 |