List questions from integer-sequences

Published on 27 Feb 2023 - 23:32

77

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A correct statement regarding a sequences of multiples of $2$ and $3$.

Published on 06 Mar 2023 - 5:28

70

Views

Increasing integer sequence $a_n$ so $\sin(a_n)\to 0$

Published on 15 Mar 2023 - 16:41

179

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If $(3+\sqrt{8})^{2023} = a + b\sqrt{8}$ where $a$ and $b$ are integers, then $a$ is the product of two numbers which differ by 2.

Published on 01 Apr 2023 - 11:27

90

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$f(n) = \frac{n^2 + n + 4}{2}, g(f(n)) = f(g(n))$ such that $g(n)$ is an integer.

Published on 02 Apr 2023 - 16:49

66

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Finding an $x$ that satisfies the Jacobsthal function for the primorial of the $n$th prime.

Published on 05 May 2023 - 4:30

618

Views

Algorithm for Starting Nonograms

Published on 22 May 2023 - 3:47

28

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Are there infinitely many relatively prime consecutive integers, whose prime factorization are exactly $2^n$ and $3^m$ for all m,n in Z^+?

Published on 13 Jun 2023 - 15:48

88

Views

question on integer polynomial sequences

Published on 26 Jun 2023 - 14:48

139

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LU decomposition of a specific Vandermonde matrix

Published on 28 Jun 2023 - 10:30

79

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Find Pattern of a Recursive Definition

Published on 08 Jul 2023 - 7:10

172

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Sequences $(a_n)$ such that $i^2+j^2=k^2+\ell^2\Longrightarrow a_i+a_j=a_k+a_{\ell}$

Published on 27 Jul 2023 - 8:06

80

Views

Homogeneous and inhomogeneous recurrences for a sequence

Published on 16 Aug 2023 - 3:19

36

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Interesting array problem about finding the lower bound for maximum element

Published on 03 Sep 2023 - 22:11

775

Views

Some questions about a sequence and concepts i developed to find its nth term.

Published on 27 Sep 2023 - 13:08

List Question

Explicit formula for tournament sequence

A correct statement regarding a sequences of multiples of $2$ and $3$.

Increasing integer sequence $a_n$ so $\sin(a_n)\to 0$

If $(3+\sqrt{8})^{2023} = a + b\sqrt{8}$ where $a$ and $b$ are integers, then $a$ is the product of two numbers which differ by 2.

$f(n) = \frac{n^2 + n + 4}{2}, g(f(n)) = f(g(n))$ such that $g(n)$ is an integer.

Finding an $x$ that satisfies the Jacobsthal function for the primorial of the $n$th prime.

Algorithm for Starting Nonograms

Are there infinitely many relatively prime consecutive integers, whose prime factorization are exactly $2^n$ and $3^m$ for all m,n in Z^+?

question on integer polynomial sequences

LU decomposition of a specific Vandermonde matrix

Find Pattern of a Recursive Definition

Sequences $(a_n)$ such that $i^2+j^2=k^2+\ell^2\Longrightarrow a_i+a_j=a_k+a_{\ell}$

Homogeneous and inhomogeneous recurrences for a sequence

Interesting array problem about finding the lower bound for maximum element

Some questions about a sequence and concepts i developed to find its nth term.

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