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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 Robert Israel, Table of n, a(n) for n = 1..4815 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 Adjacent sequences:  A182610 A182611 A182612 * A182614 A182615 A182616 KEYWORD nonn AUTHOR Clark Kimberling, Nov 22 2010 STATUS approved

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Last modified January 18 11:57 EST 2022. Contains 350455 sequences. (Running on oeis4.)