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A214051
Least m>0 such that (1+r)^m >= n!, where r = (1+sqrt(5))/2, the golden ratio.
2
1, 1, 2, 4, 5, 7, 9, 12, 14, 16, 19, 21, 24, 27, 29, 32, 35, 38, 41, 44, 48, 51, 54, 57, 61, 64, 68, 71, 75, 78, 82, 85, 89, 93, 96, 100, 104, 107, 111, 115, 119, 123, 127, 131, 135, 139, 143, 147, 151, 155, 159, 163, 167, 171, 175
OFFSET
1,3
LINKS
MAPLE
A214051 := proc(n)
local r, m;
r := (1+sqrt(5))/2 ;
for m from 1 do
if floor((1+r)^m) >= n! then
return m ;
end if;
end do:
end proc: # R. J. Mathar, Jul 23 2012
MATHEMATICA
r=GoldenRatio;
Table[m=1; While[n!>(1+r)^m, m++]; m, {n, 1, 100}]
CROSSREFS
Cf. A214050.
Sequence in context: A053039 A286753 A325543 * A027861 A219648 A062428
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jul 18 2012
STATUS
approved