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CONVOLUTION IDENTITIES FOR TRIBONACCI-TYPE NUMBERS WITH ARBITRARY INITIAL VALUES.
- Source :
- Palestine Journal of Mathematics; 2019, Vol. 8 Issue 2, p413-417, 5p
- Publication Year :
- 2019
-
Abstract
- Tribonacci numbers have been widely studied in relation with Fibonacci numbers and their generalizations. Tribonacci-type numbers ... are defined by the recurrence relation ... (n ≥ 3) with given initial values .... When T<subscript>0</subscript> = 0 and T<subscript>1</subscript> = T<subscript>2</subscript> = 1, T<subscript>n</subscript> = T<subscript>n</subscript><superscript>(0,1,1)</superscript> are ordinary Tribonacci numbers, which sequence is given by {T<subscript>n</subscript>}<subscript>n≥0</subscript> = 0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, .... In this paper, we give some convolution identities for Tribonacci-type numbers with binomial (multinomial) coefficients. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICAL convolutions
RECURSIVE sequences (Mathematics)
GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 22195688
- Volume :
- 8
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Palestine Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 136715807