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| 008 | 250403e2023 |||||||| |||| 00| 0 eng d | ||
| 040 | _cCommission on Higher Education | ||
| 100 | 1 | _aBarachina, Danny Riel P. | |
| 245 | 1 | 3 |
_aOn square triangular number _c / Danny Riel P. Barachina |
| 260 | 3 |
_aSampaloc, Manila _b : Eulogio Amang Rodriguez Institute of Science and Technology _c,2023. |
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_aix; 151 leaves _c ; 27 x 21cm. |
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| 500 | _aThesis (Master of Science in Mathematics) -- Eulogio Amang Rodriguez Institute of Science and Technology, 2023 | ||
| 520 | 3 | _aIn number theory, a square triangular number is a number that is both a perfect square and triangular in nature. There are infinitely many square triangular numbers. To find any square triangular number, several proof and identities are discussed in this study. The proof of each property of square triangular numbers are provided together with precise illustration of each property. Proofs are analytical in nature and are concentrated in providing significant results when applied. Generation of square triangular numbers in connection with recurrence relation and Binet's Formula is established. Different properties of square triangular numbers are also given that there in complete details and with precision to show significant formulas being used to prove and propositions. This paper sought the are several theorems relationship of square triangular numbers to generating functions, Perfect Square numbers, and Pell's Equation. With regard to the forgoing goal, it is shown that there are other numbers related to Square Triangular Numbers such as Pell and Pell - Lucas Numbers. Relationship with these numbers is shown in precise manner and several proofs of these relationships are established. | |
| 650 | 1 | 0 | _aTriangular numbers |
| 650 | 2 | 0 | _aPerfect squares |
| 650 | 2 | 0 | _aNumber theory |
| 650 | 2 | 0 | _aPell's equation |
| 856 | 4 | 0 |
_uhttp://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=f6f74494c6830d9563a01fc84f470266 _zAbstract |
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_uhttp://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=c081c558bdce5f8d4dcd167208dc8562 _zTable of Contents |
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