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A371348
Decimal expansion of sqrt(c'*(exp(1/c') - 1)) where c'=7/4.
1
1, 1, 6, 1, 4, 1, 7, 7, 3, 9, 9, 8, 9, 1, 5, 7, 0, 3, 0, 1, 9, 9, 0, 0, 1, 6, 8, 0, 4, 8, 9, 6, 3, 5, 5, 7, 6, 2, 2, 9, 6, 9, 2, 5, 8, 0, 4, 8, 0, 5, 8, 0, 2, 9, 1, 1, 8, 1, 8, 4, 3, 5, 1, 0, 0, 8, 0, 9, 5, 9, 1, 1, 6, 6, 8, 6, 4, 7, 5, 9, 5, 6, 4, 5, 1, 1, 4, 7, 2, 2, 3
OFFSET
1,3
COMMENTS
This is the constant gamma used in equations (33) and (34) in P. Massart (2000), page 876.
LINKS
Pascal Massart, About the constants in Talagrand's concentration inequalities for empirical processes, The Annals of Probability 2000, Vol. 28, No. 2, 863-884.
EXAMPLE
1.16141773998915703019900168048963557622969258048058029118184351...
MATHEMATICA
First[RealDigits[Sqrt[7/4*(Exp[4/7]-1)], 10, 100]] (* Paolo Xausa, Mar 22 2024 *)
PROG
(PARI) sqrt(7*(exp(4/7)-1)/4)
CROSSREFS
Sequence in context: A101023 A195303 A354857 * A358981 A160199 A178646
KEYWORD
nonn,cons
AUTHOR
Hugo Pfoertner, Mar 21 2024
STATUS
approved