A371348 - OEIS

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

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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.

EXAMPLE

1.16141773998915703019900168048963557622969258048058029118184351...

MATHEMATICA

First[RealDigits[Sqrt[7/4*(Exp[4/7]-1)], 10, 100]] (* Paolo Xausa, Mar 22 2024 *)