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A388668
Decimal expansion of sqrt(5 * (2+sqrt(5))) * exp(-Pi/2).
1
9, 5, 6, 7, 0, 5, 5, 3, 2, 9, 0, 8, 2, 6, 8, 8, 4, 8, 1, 1, 8, 6, 9, 0, 4, 2, 3, 1, 4, 0, 6, 2, 4, 5, 6, 9, 4, 7, 2, 5, 6, 5, 5, 3, 0, 8, 9, 4, 3, 2, 5, 6, 7, 8, 0, 3, 1, 1, 6, 1, 2, 0, 3, 5, 9, 2, 2, 3, 1, 2, 0, 3, 7, 0, 4, 7, 3, 4, 9, 3, 6, 7, 7, 8, 4, 3, 3
OFFSET
0,1
FORMULA
Empirical: Equals Sum_{k>=0} A145708(k) / exp(k*Pi).
EXAMPLE
0.95670553290826884811869042314062456947256553089432567803116120359223120370....
MATHEMATICA
First[RealDigits[Sqrt[5*(2 + Sqrt[5])]*Exp[-1/2*Pi], 10, 100]]
PROG
(PARI) (1/32) * exp(-Pi / 2) * 2^(3/5) * 5^(1/4) * gamma(3/5)^2 * gamma(7/10) * (5+5^(1/2)) * (5^(1/2)+1)^2 / Pi / gamma(9/10)
CROSSREFS
Cf. A145708.
Sequence in context: A388769 A388663 A388502 * A388792 A292824 A388932
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 18 2025
STATUS
approved