A371348 Decimal expansion of sqrt(c'*(exp(1/c') - 1)) where c'=7/4.

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

Paolo Xausa, Table of n, a(n) for n = 1..10000

Pascal Massart, About the constants in Talagrand's concentration inequalities for empirical processes, The Annals of Probability 2000, Vol. 28, No. 2, 863-884.

Index entries for transcendental numbers

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

Adjacent sequences: A371345 A371346 A371347 * A371349 A371350 A371351

Keyword

nonn,cons

Author

Hugo Pfoertner, Mar 21 2024

Status

approved