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A084787
Least integer such that e^n/(ceiling(e^n) + a(n)) monotonically decreases.
0
1, 3, 9, 26, 73, 199, 542, 1475, 4011, 10903, 29640, 80571, 219017, 595350, 1618331, 4399082, 11957946, 32505069, 88357939, 240181783, 652881776, 1774716669, 4824180073, 13113481032, 35646137200, 96896247006, 263391307484
OFFSET
0,2
COMMENTS
Lim_{n->infinity} e^n/(ceiling(e^n) + a(n)) = 0.42631385811... = 1/(1+c), where a(n) ~ c*e^n, c=1.34568963915...
FORMULA
a(0)=1, a(n+1) = ceiling( e*a(n) + e*ceiling(e^n) - ceiling(e^(n+1)) ), e=2.71828...
CROSSREFS
Cf. A084798.
Sequence in context: A291733 A118046 A057153 * A121190 A054447 A061667
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jun 14 2003
STATUS
approved