formulae for the sums of squares of generalized tribonacci ......yüksel soykan department of...

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IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 16, Issue 4 Ser. I (Jul. Aug. 2020), PP 01-18 www.iosrjournals.org DOI: 10.9790/5728-1604010118 www.iosrjournals.org 1 | Page Formulae for the Sums of Squares of Generalized Tribonacci Numbers: Closed Form Formulas of Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak, Turkey --------------------------------------------------------------------------------------------------------------------------------------- Date of Submission: 25-06-2020 Date of Acceptance: 15-07-2020 ---------------------------------------------------------------------------------------------------------------------------------------

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Page 1: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

IOSR Journal of Mathematics (IOSR-JM)

e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 16, Issue 4 Ser. I (Jul. –Aug. 2020), PP 01-18

www.iosrjournals.org

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 1 | Page

Formulae for the Sums of Squares of Generalized Tribonacci

Numbers: Closed Form Formulas of

Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Turkey

----------------------------------------------------------------------------------------------------------------------------- ----------

Date of Submission: 25-06-2020 Date of Acceptance: 15-07-2020

----------------------------------------------------------------------------------------------------------------------------- ----------

Page 2: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 2 | Page

Page 3: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 3 | Page

Page 4: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 4 | Page

Page 5: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 5 | Page

Page 6: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 6 | Page

Page 7: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 7 | Page

Page 8: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 8 | Page

Page 9: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 9 | Page

Page 10: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 10 | Page

Page 11: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 11 | Page

Page 12: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 12 | Page

Page 13: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 13 | Page

Page 14: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 14 | Page

Page 15: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 15 | Page

Page 16: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 16 | Page

Page 17: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 17 | Page

Page 18: Formulae for the Sums of Squares of Generalized Tribonacci ......Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak,

Formulae for the Sums of Squares of Generalized Tribonacci Numbers: ..

DOI: 10.9790/5728-1604010118 www.iosrjournals.org 18 | Page