Sum of consecutive powers
由 YY Shen 著作 · 2003 · 被引用 9 次 — A Note on the Sums of Powers of Consecutive. Integers. Yuan-Yuan Shen∗. Abstract. Let n,k be positive integers (k > 1), and let Sn(k) be the sum of the n-th ... ,If we call the sum Sn, then P⋅Sn=P+P2+P3+⋯+Pn+1=Sn+(Pn+1−1). Solving for Sn we find: (P−1)Sn=Pn+1−1. and Sn=Pn+1−1P−1. This is a partial sum of ... ,Sums of consecutive powers. Posted on 31 December 2016 by John. There's a well-known formula for the sum of the first n positive integers: 1 + 2 + 3 + … ,由 S Litvinov 著作 · 2020 · 被引用 1 次 — Sums of Powers of Consecutive Integers and Pascal's Triangle ... Σ n p of pth powers of the first n natural numbers dates back to Pythagoreans for p = 1, ... ,2020年2月28日 — Learn how to sum consecutive powers of 2 and improve your algorithms with a simple and easy to remember equation. ,2017年2月14日 — More recently, Bennett, Patel and Siksek [2] determined all perfect powers that are expressible as sums of 2 -le d -le 50 consecutive cubes, ... ,Sum of Consecutive Powers. In mathematics, a frequently occurring computation is to find the sum of consecutive powers of a number. For example, we may ... ,that computes the sum of the first n consecutive like pth powers. ... sum of the first natural numbers raised to the pth power is a polynomial in n of degree p + 1. ,I was recently considering the puzzle of finding consecutive (integer) powers of 3 that sum to a square. It's not hard to show that this can be reduced to finding ... ,In mathematics and statistics, sums of powers occur in a number of contexts: Sums of squares arise in many contexts. For example, in geometry, the ...
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 Sum of consecutive powers 相關參考資料
A Note on the Sums of Powers of Consecutive Integers
由 YY Shen 著作 · 2003 · 被引用 9 次 — A Note on the Sums of Powers of Consecutive. Integers. Yuan-Yuan Shen∗. Abstract. Let n,k be positive integers (k > 1), and let Sn(k) be the sum of the n-th ... http://sci.thu.edu.tw Calculating sum of consecutive powers of a number ...
If we call the sum Sn, then P⋅Sn=P+P2+P3+⋯+Pn+1=Sn+(Pn+1−1). Solving for Sn we find: (P−1)Sn=Pn+1−1. and Sn=Pn+1−1P−1. This is a partial sum of ... https://math.stackexchange.com Formula for sums of nth powers - John D. Cook
Sums of consecutive powers. Posted on 31 December 2016 by John. There's a well-known formula for the sum of the first n positive integers: 1 + 2 + 3 + … https://www.johndcook.com Full article: Sums of Powers of Consecutive Integers and ...
由 S Litvinov 著作 · 2020 · 被引用 1 次 — Sums of Powers of Consecutive Integers and Pascal's Triangle ... Σ n p of pth powers of the first n natural numbers dates back to Pythagoreans for p = 1,&nbs... https://www.tandfonline.com How to Sum Consecutive Powers of 2 | jarednielsen.com
2020年2月28日 — Learn how to sum consecutive powers of 2 and improve your algorithms with a simple and easy to remember equation. https://jarednielsen.com On powers that are sums of consecutive like powers ...
2017年2月14日 — More recently, Bennett, Patel and Siksek [2] determined all perfect powers that are expressible as sums of 2 -le d -le 50 consecutive cubes, ... https://link.springer.com Sum of Powers - Mike's Toolbox
Sum of Consecutive Powers. In mathematics, a frequently occurring computation is to find the sum of consecutive powers of a number. For example, we may ... http://mikestoolbox.com Sums of Consecutive Powers - Eric Rowland
that computes the sum of the first n consecutive like pth powers. ... sum of the first natural numbers raised to the pth power is a polynomial in n of degree p + 1. https://ericrowland.github.io Sums of consecutive powers of 3 being perfect squares ...
I was recently considering the puzzle of finding consecutive (integer) powers of 3 that sum to a square. It's not hard to show that this can be reduced to finding ... https://math.stackexchange.com Sums of powers - Wikipedia
In mathematics and statistics, sums of powers occur in a number of contexts: Sums of squares arise in many contexts. For example, in geometry, the ... https://en.wikipedia.org |