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A084798 Least integer such that x^(n+1)/(ceil(x^n) + a(n)) monotonically decreases to 1, where x=2.30553839092543... 1
1, 2, 6, 15, 36, 84, 195, 451, 1041, 2402, 5539, 12772, 29447, 67893, 156531, 360889, 832045, 1918313, 4422746, 10196812, 23509143, 54201233, 124963024, 288107051, 664241868, 1531435129, 3530782484, 8140354569, 18767899975, 43270113911 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

x=2.30553839092543... is the unique value at which the limit is unity: limit x^(n+1)/(ceil(x^n) + a(n)) -> 1; a(n) ~ (x-1)*x^n.

LINKS

Table of n, a(n) for n=0..29.

FORMULA

a(0)=1, a(n+1) = ceil( x*a(n) + x*ceil(x^n) - ceil(x^(n+1)) ), where x=2.30553839092543...

CROSSREFS

Sequence in context: A116404 A301600 A084860 * A215149 A017923 A238830

Adjacent sequences:  A084795 A084796 A084797 * A084799 A084800 A084801

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jun 06 2003

STATUS

approved

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Last modified February 20 14:58 EST 2019. Contains 320327 sequences. (Running on oeis4.)