A273083 - OEIS

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A273083

Decimal expansion of theta_3(0, exp(-5*Pi)), where theta_3 is the 3rd Jacobi theta function.

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,8

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

Wikipedia, Theta function

FORMULA

Equals sqrt(2/5 + 1/sqrt(5)) * Pi^(1/4)/Gamma(3/4).

EXAMPLE

1.0000003014034550780129221506549039080802236178954948667347...

MAPLE

evalf(sqrt(2/5 + 1/sqrt(5)) * Pi^(1/4)/GAMMA(3/4), 120);