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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 27 12:51 EST 2021. Contains 349394 sequences. (Running on oeis4.)