Show that $sum_{n=0}^{infty}frac{2^n}{2n+1}cdot frac{H_n}{C

Show that $sum_{n=0}^{infty}frac{2^n}{2n+1}cdot frac{H_n}{C_n}=2G+frac{pi}{2}(1-ln{2})$ [on hold]

-1

I was looking at this paper,

I conjectured $$sum_{n=0}^{infty}frac{2^n}{2n+1}cdot frac{H_n}{C_n}=2G+frac{pi}{2}(1-ln{2})tag1$$

where $H_n$ and $G$

How may we prove $(1)?$

edited 2 days ago

mrtaurho

4,07721133

asked 2 days ago

user583851

4117

put on hold as off-topic by Did, Zacky, mrtaurho, quid♦ yesterday

This question appears to be off-topic. The users who voted to close gave this specific reason:

"This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Did, Zacky, mrtaurho, quid

If this question can be reworded to fit the rules in the help center, please edit the question.

3

What makes you conjecturing this equality? As far as I can tell the linked paper only deals with series involving Catalan Numbers alone withou including Harmonic Numbers therefore I am little bit curious from where you gain this equality. Right now this whole thing seems out of thin air. Please add these details to make your post more convincing.
– mrtaurho
2 days ago

1

Yes, I am... Your question is missing details and is not fitting the side standards. I asked you politely to improve your question. Your reaction tells me that the close vote was the right decision...
– mrtaurho
yesterday

2

To OP: Moderate your language please.
– quid♦
yesterday

add a comment |

-1

I was looking at this paper,

I conjectured $$sum_{n=0}^{infty}frac{2^n}{2n+1}cdot frac{H_n}{C_n}=2G+frac{pi}{2}(1-ln{2})tag1$$

where $H_n$ and $G$

How may we prove $(1)?$

edited 2 days ago

mrtaurho

4,07721133

asked 2 days ago

user583851

4117

put on hold as off-topic by Did, Zacky, mrtaurho, quid♦ yesterday

This question appears to be off-topic. The users who voted to close gave this specific reason:

"This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Did, Zacky, mrtaurho, quid

If this question can be reworded to fit the rules in the help center, please edit the question.

3

What makes you conjecturing this equality? As far as I can tell the linked paper only deals with series involving Catalan Numbers alone withou including Harmonic Numbers therefore I am little bit curious from where you gain this equality. Right now this whole thing seems out of thin air. Please add these details to make your post more convincing.
– mrtaurho
2 days ago

1

Yes, I am... Your question is missing details and is not fitting the side standards. I asked you politely to improve your question. Your reaction tells me that the close vote was the right decision...
– mrtaurho
yesterday

2

To OP: Moderate your language please.
– quid♦
yesterday

add a comment |

-1

I was looking at this paper,

I conjectured $$sum_{n=0}^{infty}frac{2^n}{2n+1}cdot frac{H_n}{C_n}=2G+frac{pi}{2}(1-ln{2})tag1$$

where $H_n$ and $G$

How may we prove $(1)?$

edited 2 days ago

mrtaurho

4,07721133

asked 2 days ago

user583851

4117

I was looking at this paper,

I conjectured $$sum_{n=0}^{infty}frac{2^n}{2n+1}cdot frac{H_n}{C_n}=2G+frac{pi}{2}(1-ln{2})tag1$$

where $H_n$ and $G$

How may we prove $(1)?$

sequences-and-series closed-form harmonic-numbers catalan-numbers

edited 2 days ago

mrtaurho

4,07721133

asked 2 days ago

user583851

4117

edited 2 days ago

mrtaurho

4,07721133

asked 2 days ago

user583851

4117

edited 2 days ago

mrtaurho

4,07721133

edited 2 days ago

mrtaurho

4,07721133

edited 2 days ago

mrtaurho

4,07721133

asked 2 days ago

user583851

4117

asked 2 days ago

user583851

4117

asked 2 days ago

user583851

4117

put on hold as off-topic by Did, Zacky, mrtaurho, quid♦ yesterday

This question appears to be off-topic. The users who voted to close gave this specific reason:

"This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Did, Zacky, mrtaurho, quid

If this question can be reworded to fit the rules in the help center, please edit the question.

put on hold as off-topic by Did, Zacky, mrtaurho, quid♦ yesterday

This question appears to be off-topic. The users who voted to close gave this specific reason:

"This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Did, Zacky, mrtaurho, quid

If this question can be reworded to fit the rules in the help center, please edit the question.

3

What makes you conjecturing this equality? As far as I can tell the linked paper only deals with series involving Catalan Numbers alone withou including Harmonic Numbers therefore I am little bit curious from where you gain this equality. Right now this whole thing seems out of thin air. Please add these details to make your post more convincing.
– mrtaurho
2 days ago

1

Yes, I am... Your question is missing details and is not fitting the side standards. I asked you politely to improve your question. Your reaction tells me that the close vote was the right decision...
– mrtaurho
yesterday

2

To OP: Moderate your language please.
– quid♦
yesterday

add a comment |

3

What makes you conjecturing this equality? As far as I can tell the linked paper only deals with series involving Catalan Numbers alone withou including Harmonic Numbers therefore I am little bit curious from where you gain this equality. Right now this whole thing seems out of thin air. Please add these details to make your post more convincing.
– mrtaurho
2 days ago

1

Yes, I am... Your question is missing details and is not fitting the side standards. I asked you politely to improve your question. Your reaction tells me that the close vote was the right decision...
– mrtaurho
yesterday

2

To OP: Moderate your language please.
– quid♦
yesterday

What makes you conjecturing this equality? As far as I can tell the linked paper only deals with series involving Catalan Numbers alone withou including Harmonic Numbers therefore I am little bit curious from where you gain this equality. Right now this whole thing seems out of thin air. Please add these details to make your post more convincing.
– mrtaurho
2 days ago

Yes, I am... Your question is missing details and is not fitting the side standards. I asked you politely to improve your question. Your reaction tells me that the close vote was the right decision...
– mrtaurho
yesterday

To OP: Moderate your language please.
– quid♦
yesterday

add a comment |

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