A117191 - OEIS

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A117191

Decimal expansion of 4^(1/Pi).

1, 5, 5, 4, 6, 8, 2, 2, 7, 5, 4, 8, 2, 1, 0, 0, 0, 8, 9, 8, 7, 0, 2, 3, 2, 0, 8, 0, 7, 8, 2, 8, 0, 4, 0, 0, 2, 0, 6, 0, 4, 4, 7, 3, 0, 6, 2, 6, 5, 6, 6, 1, 3, 7, 9, 0, 9, 8, 9, 2, 0, 2, 0, 4, 3, 3, 2, 8, 7, 7, 9, 4, 1, 5, 2, 9, 3, 2, 8, 0, 5, 3, 6, 5, 1, 1, 3, 9, 7, 6, 3, 8, 2, 3, 1, 8, 7, 4, 8, 9, 3, 6, 3, 0, 5

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OFFSET

1,2

COMMENTS

Gosper found that lim[n approaches infinity] Prod[i=n..2n] Pi/2 arctan i = 4^(1/Pi) ~ 1.554682275...

REFERENCES

Gosper, R. W. math-fun(AT)cs.arizona.edu posting, Sept. 1996.

Gosper, R. W. "a product." math-fun(AT)cs.arizona.edu posting, Sept. 27, 1996.

LINKS

Table of n, a(n) for n=1..105.

R. W. Gosper, Some identities

Eric Weisstein's World of Mathematics, Pi Formulas.