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Numbers n such that decimal expansion of exp(n) has fractional part beginning with n.
0

%I #6 Jun 18 2022 05:29:03

%S 40,55,71,5833

%N Numbers n such that decimal expansion of exp(n) has fractional part beginning with n.

%C This sequence (like A100323 relative to A100322) is not necessarily a subset of A100332 because there may exist an n1<n such that the decimal places of both exp(n1) and exp(n) begin with n. Then n appears in this sequence, but n1 appears in A100332.

%e E.g. exp(40)=235385266837019985.40...

%e exp(55)=769478526514201713818274.55...

%e exp(71)=6837671229762743866755892826677.71... etc

%Y Cf. A100323 for analogous sequence relating to powers of Pi.

%K base,nonn,more

%O 1,1

%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 18 2004