Alladi Grinstead constant

In the mathematical discipline of topology, the Alladi Grinstead constant is a mathematical constant.

Value

The decimal representation of the Alladi–Grinstead constant begins:

0.80939402054063913071793188059409131721595399242500030424202871504... (sequence A085291 in the OEIS).

Computation

The value can be computed by the below formula. Let $$c=\sum _{k=2}^{\mathrm{\infty }}\frac{1}{k}\ln \frac{k}{k-1}.$$ Then the Alladi–Grinstead constant is $\exp (c-1)$.

History

The concept was introduced by mathematicians Charles Grinstead and Krishnaswami Alladi in a 1977 paper.

Applications

The Alladi Grinstead constant has many important applications in homotopy theory.

External links

• https://core.ac.uk/download/pdf/81984983.pdf
• https://mathworld.wolfram.com/Alladi-GrinsteadConstant.html
• https://www.wolframalpha.com/input/?i=alladi-grinstead+constant
• https://archive.lib.msu.edu/crcmath/math/math/a/a147.htm
• https://oeis.org/A085291

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