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A182613
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Number of integers k such that floor((r^n)/k)=n, where r = golden ratio = (1+sqrt(5))/2.
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2
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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
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OFFSET
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1,11
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LINKS
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FORMULA
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a(n)=floor((r^n)/n)-floor((r^n)/(n+1)).
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MAPLE
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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:
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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