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%I #8 Jun 23 2019 02:30:08
%S 1,3,9,26,73,199,542,1475,4011,10903,29640,80571,219017,595350,
%T 1618331,4399082,11957946,32505069,88357939,240181783,652881776,
%U 1774716669,4824180073,13113481032,35646137200,96896247006,263391307484
%N Least integer such that e^n/(ceiling(e^n) + a(n)) monotonically decreases.
%C Lim_{n->infinity} e^n/(ceiling(e^n) + a(n)) = 0.42631385811... = 1/(1+c), where a(n) ~ c*e^n, c=1.34568963915...
%F a(0)=1, a(n+1) = ceiling( e*a(n) + e*ceiling(e^n) - ceiling(e^(n+1)) ), e=2.71828...
%Y Cf. A084798.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Jun 14 2003