A084787 Least integer such that e^n/(ceiling(e^n) + a(n)) monotonically decreases.

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...

Links

Table of n, a(n) for n=0..26.

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

Adjacent sequences: A084784 A084785 A084786 * A084788 A084789 A084790

Keyword

nonn

Author

Paul D. Hanna, Jun 14 2003

Status

approved