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A182613 Number of integers k such that floor((r^n)/k)=n, where r = golden ratio = (1+sqrt(5))/2. 2
1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 3, 4, 5, 8, 12, 16, 25, 36, 53, 79, 117, 173, 258, 387, 581, 875, 1322, 2000, 3035, 4612, 7025, 10716, 16376, 25064, 38420, 58977, 90655, 139528, 215011, 331714, 512328, 792120, 1225952 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,11
LINKS
FORMULA
a(n)=floor((r^n)/n)-floor((r^n)/(n+1)).
MAPLE
r:= (1+sqrt(5))/2:
f:= proc(n) local v;
v:= floor(r^n/n) - floor(r^n/(n+1));
while not v::integer do
Digits:= 2*Digits;
v:= floor(r^n/n) - floor(r^n/(n+1));
od;
v
end proc:
map(f, [$1..100]); # Robert Israel, Sep 04 2019
CROSSREFS
Cf. A182614.
Sequence in context: A176538 A285261 A100483 * A184259 A014535 A210642
KEYWORD
nonn
AUTHOR
Clark Kimberling, Nov 22 2010
STATUS
approved

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)