A062108 a(n) = floor(n^(3/4)).
0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25
Offset: 0
Examples
a(100) = floor(100^(3/4)) = floor(1000000^(1/4)) = floor(31.62...) = 31.
Links
- Harry J. Smith, Table of n, a(n) for n = 0..1000
Programs
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Maple
seq(floor(n^(3/4)),n=0..90); # Muniru A Asiru, Jul 01 2018
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Mathematica
Floor[Range[0,80]^(3/4)] (* Harvey P. Dale, Feb 12 2015 *)
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PARI
{ default(realprecision, 100); for (n=0, 1000, write("b062108.txt", n, " ", floor(n^(3/4) + 0.0000001)) ) } \\ Harry J. Smith, Aug 01 2009
Formula
a(n) = A061054(n) - n.