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Pippenger Product

المؤلف:  Pippenger, N.

المصدر:  An Infinite Product for e." Amer. Math. Monthly 87, 391, 1980.

الجزء والصفحة:  ...

4-11-2019

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Pippenger Product

 

The Pippenger product is an unexpected Wallis-like formula for  given by

(1)

(OEIS A084148 and A084149; Pippenger 1980). Here, the th term for  is given by

			(2)
			(3)

where  is a double factorial and  is the gamma function.

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REFERENCES:

Pippenger, N. "An Infinite Product for ." Amer. Math. Monthly 87, 391, 1980.

Sloane, N. J. A. Sequences A084148 and A084149 in "The On-Line Encyclopedia of Integer Sequences."