OFFSET
1,2
COMMENTS
LINKS
Harvey P. Dale, Table of n, a(n) for n = 1..1000
FORMULA
a(1) = 1, a(n+1) = a(n) + round(a(n)^(1/3)).
EXAMPLE
a(19) = 43, so a(20) = a(19) + round(a(19)^(1/3)) = 43 + round(43^(1/3)) = 43 + round(3.50339806) = 43 + 4 = 47.
a(31) = 91, so a(32) = a(31) + round(a(31)^(1/3)) = 91 + round(4.49794145) = 91 + 4 = 95.
a(32) = 95, so a(33) = a(32) + round(a(32)^(1/3)) = 95 + round(4.56290264) = 95 + 5 = 100.
a(47) = 170, so a(48) = 170 + round(170^(1/3)) = 170 + round(5.53965826) = 176.
MATHEMATICA
NestList[#+Round[Surd[#, 3]]&, 1, 60] (* Harvey P. Dale, Jan 12 2019 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Jan 19 2006
STATUS
approved