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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

%I

%S 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,

%T 581,875,1322,2000,3035,4612,7025,10716,16376,25064,38420,58977,90655,

%U 139528,215011,331714,512328,792120,1225952

%N Number of integers k such that floor((r^n)/k)=n, where r = golden ratio = (1+sqrt(5))/2.

%H Robert Israel, <a href="/A182613/b182613.txt">Table of n, a(n) for n = 1..4815</a>

%F a(n)=floor((r^n)/n)-floor((r^n)/(n+1)).

%p r:= (1+sqrt(5))/2:

%p f:= proc(n) local v;

%p v:= floor(r^n/n) - floor(r^n/(n+1));

%p while not v::integer do

%p Digits:= 2*Digits;

%p v:= floor(r^n/n) - floor(r^n/(n+1));

%p od;

%p v

%p end proc:

%p map(f, [\$1..100]); # _Robert Israel_, Sep 04 2019

%Y Cf. A182614.

%K nonn

%O 1,11

%A _Clark Kimberling_, Nov 22 2010

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Last modified March 23 03:46 EDT 2023. Contains 361434 sequences. (Running on oeis4.)