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A090462
Decimal expansion of maximum real value at which the Pochhammer limit lim_{k->infinity} Product_{i=0..k} (z + i/k) converges.
2
5, 4, 2, 2, 1, 1, 4, 1, 9, 7, 3, 7, 7, 4, 5, 1, 1, 0, 5, 6, 4, 4, 0, 7, 5, 3, 0, 4, 3, 1, 2, 8, 0, 3, 1, 0, 4, 0, 6, 3, 8, 9, 3, 7, 0, 5, 8, 7, 0, 4, 7, 4, 7, 0, 4, 1, 5, 5, 6, 5, 9, 0, 1, 3, 1, 9, 4, 8, 0, 8, 9, 8, 0, 4, 3, 5, 0, 9, 3, 0, 7, 4, 9, 5, 1, 8, 7, 6, 5, 2, 0, 4, 2, 7, 7, 6, 9, 2, 3, 5, 9, 6
OFFSET
0,1
LINKS
Hideyuki Ohtsuka, Problem 12029, Amer. Math. Monthly, Vol. 125, Issue 3, 2018, Problem 12029, p. 276.
Eric Weisstein's World of Mathematics, Pochhammer Symbol
EXAMPLE
c = 0.5422114197377451105644075304312803104063893705870474704155659...
MATHEMATICA
c = z /. FindRoot[(1+z)^(1+z) == E*z^z, {z, 1/2}, WorkingPrecision -> 102]; RealDigits[c][[1]] (* Jean-François Alcover, Sep 19 2016, after Eric W. Weisstein *)
CROSSREFS
Cf. A090463.
Sequence in context: A180130 A242600 A102593 * A375708 A246966 A081749
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Dec 01 2003
STATUS
approved