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Warburton, Henry in correspondent 
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Herschel, John in addressee 
1840-1849::1847::11 in date 
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Herschel7836

From:
Henry Warburton
To:
Sir John Herschel
Date:
[14 November 1847]
Source of text:
RS:HS 18.40
Summary:

Close to finding expeditious, symmetric method for computing Bernoulli's numbers. Resolves four formulas that HW sent to JH earlier today.

Contributor:
John Herschel Project

Herschel7837

From:
Henry Warburton
To:
Sir John Herschel
Date:
[22 November 1847]
Source of text:
RS:HS 18.41
Summary:

Thanks for comments on HW's paper and work on properties of Bernoulli's numbers. Claims HW's method of continued subtraction is convenient process for determining numerical coefficients. Found error, long perpetuated in literature, regarding Bernoulli's 13th number. Offers correct solution.

Contributor:
John Herschel Project

Herschel7838

From:
Henry Warburton
To:
Sir John Herschel
Date:
[23 November 1847]
Source of text:
RS:HS 18.42
Summary:

More calculations showing continued subtraction method in solution of Bernoulli's 13th number.

Contributor:
John Herschel Project

Herschel7839

From:
Henry Warburton
To:
Sir John Herschel
Date:
[24 November 1847]
Source of text:
RS:HS 18.43
Summary:

More calculations using continual subtraction method to test Bernoulli's 15th number.

Contributor:
John Herschel Project

Herschel7840

From:
Henry Warburton
To:
Sir John Herschel
Date:
[25 November 1847]
Source of text:
RS:HS 18.44
Summary:

More continual subtractions to resolve Bernoulli's 17th number. Error in official value given in Encyclopaedia Metropolitana. Also working on Bernoulli's 18th number.

Contributor:
John Herschel Project

Herschel7841

From:
Henry Warburton
To:
Sir John Herschel
Date:
[29 November 1847]
Source of text:
RS:HS 18.45
Summary:

Will submit paper to Cambridge [Philosophical] Society revising all [Leonhard] Euler's values for Bernoulli's numbers. Doubts accuracy of values up to B=49 quoted by George Peacock.

Contributor:
John Herschel Project
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