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Increasing partial quotients of e^gamma.
0

%I #9 Jun 07 2023 10:29:56

%S 1,3,5,7,9,16,59,100,129,314,2294,1568705

%N Increasing partial quotients of e^gamma.

%D Ronald L. Graham, D. E. Knuth and Oren Patashnik, "Concrete Mathematics, A Foundation for Computer Science," Addison-Wesley Publishing Co., Reading, MA, 1989, page 540.

%H Richard P. Brent, <a href="https://doi.org/10.1090/S0025-5718-1977-0436547-7">Computation of the regular continued fraction for Euler's constant</a>, Mathematics of Computation 31 (1977), pages 771-777.

%t t1 = ContinuedFraction[ E^EulerGamma, 10^5 ]; a = 0; Do[ If[ t1[ [ n ] ] > a, a = t1[ [ n ] ]; Print[ a ] ], {n, 1, 10^5} ]

%Y Cf. A073004 (e^gamma), A094644 (continued fraction).

%K nonn,more

%O 1,2

%A _Robert G. Wilson v_, Sep 29 2001