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Numbers n such that Pi^(n*e)-e^n is closer to its nearest integer than any value of Pi^(k*e)-e^k for 1 <= k < n.
2

%I #5 Jan 08 2019 09:12:41

%S 1,2,5,19,212,233,299,519,1707,3587,8841,8982,12894

%N Numbers n such that Pi^(n*e)-e^n is closer to its nearest integer than any value of Pi^(k*e)-e^k for 1 <= k < n.

%C At 1707 the discrepancy is 0.0000981788...

%e First term is 1 because this is just Pi^e-e=19.740875... Second term is 2 because Pi^(2*e)-e^2=497.0247 ...

%Y Cf. A079490, A080052, A080279.

%K more,nonn

%O 1,2

%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003

%E More terms from _Michel ten Voorde_ Jun 20 2003