Question

How do you find a pattern behind a sequence of integers?

score 191 · Answer 1 · 2021-11-08 14:37:21

191

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How do you find a pattern behind a sequence of integers?

Published on 08 Nov 2021 - 14:37

score 22 · Answer 2 · 2021-11-12 05:32:08

22

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What are the necessary and sufficient conditions for a polynomial with domain the positive integers to always produce an integer?

Published on 12 Nov 2021 - 5:32

score 27 · Answer 3 · 2021-11-12 23:06:34

27

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What are the necessary and sufficient conditions for an exponential function over the positive integers to always produce an integer?

Published on 12 Nov 2021 - 23:06

score 70 · Answer 4 · 2021-11-22 23:06:24

70

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Suppose $a_n \ge 0$ for all n and that $\sum_{n=1}^{\infty} (a_n)^2$ converges, does the $\sum_{n=1}^{\infty} a_n$ also converge?

Published on 22 Nov 2021 - 23:06

score 545 · Answer 5 · 2021-12-16 15:22:27

545

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Find three integers in Harmonic Progression

Published on 16 Dec 2021 - 15:22

score 72 · Answer 6 · 2022-01-05 07:59:12

72

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Pattern in number of digits in $(10^n)!$

Published on 05 Jan 2022 - 7:59

score 99 · Answer 7 · 2022-02-07 22:33:22

99

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Limit of a sequence of real numbers 2

Published on 07 Feb 2022 - 22:33

score 83 · Answer 8 · 2022-04-25 21:48:30

83

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Find the density of a certain subset of $\Bbb N$

Published on 25 Apr 2022 - 21:48

score 245 · Answer 9 · 2022-05-12 13:21:47

245

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Characterization of primes of the form $n^n+1$ by using number-theoretic functions

Published on 12 May 2022 - 13:21

score 1.7k · Answer 10 · 2022-05-22 21:42:22

1.7k

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Longest geometric progression of primes

Published on 22 May 2022 - 21:42

score 93 · Answer 11 · 2022-06-12 23:19:05

93

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Function identifying consecutive integers

Published on 12 Jun 2022 - 23:19

score 131 · Answer 12 · 2022-07-04 04:40:46

131

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A number sequence problem involving binomial transform.

Published on 04 Jul 2022 - 4:40

score 34 · Answer 13 · 2022-07-14 15:40:42

34

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Asymptotics for a simple stochastic process

Published on 14 Jul 2022 - 15:40

score 23 · Answer 14 · 2022-08-02 07:51:44

23

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Is there a way to find all number series whose formulae of general term contain progressions?

Published on 02 Aug 2022 - 7:51

score 141 · Answer 15 · 2022-08-09 08:24:03

141

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A question about sequence of positive integers related to their density in the reals

Published on 09 Aug 2022 - 8:24

List Question

How do you find a pattern behind a sequence of integers?

What are the necessary and sufficient conditions for a polynomial with domain the positive integers to always produce an integer?

What are the necessary and sufficient conditions for an exponential function over the positive integers to always produce an integer?

Suppose $a_n \ge 0$ for all n and that $\sum_{n=1}^{\infty} (a_n)^2$ converges, does the $\sum_{n=1}^{\infty} a_n$ also converge?

Find three integers in Harmonic Progression

Pattern in number of digits in $(10^n)!$

Limit of a sequence of real numbers 2

Find the density of a certain subset of $\Bbb N$

Characterization of primes of the form $n^n+1$ by using number-theoretic functions

Longest geometric progression of primes

Function identifying consecutive integers

A number sequence problem involving binomial transform.

Asymptotics for a simple stochastic process

Is there a way to find all number series whose formulae of general term contain progressions?

A question about sequence of positive integers related to their density in the reals

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