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A034058
a(n) is the first k such that the fractional part of k^(1/3) starts with n.
5
9, 10, 2, 13, 3, 4, 18, 5, 6, 7, 30, 134, 70, 231, 31, 10, 72, 32, 139, 74, 33, 75, 11, 34, 144, 2, 146, 35, 12, 79, 36, 150, 81, 37, 82, 13, 38, 84, 156, 39, 158, 14, 160, 87, 3, 162, 15, 42, 90, 91, 43, 16, 169, 44, 94, 45, 95, 17, 4, 97, 47, 98
OFFSET
0,1
COMMENTS
For each k such that A023962(k) > 0, there are infinitely many n such that a(n) = k. - Robert Israel, Nov 05 2025
LINKS
EXAMPLE
a(0)=9 -> 9^(1/3)=2.{0}800838...
a(1)=10 -> 10^(1/3)=2.{1}544346...
MAPLE
f:= proc(n) local td, x, y, L;
td:= 10^(ilog10(n)+1);
for x from 1 do
y:= (x+n/td)^3;
L:= ceil(y);
if y < L and L < (x + (n+1)/td)^3 then return(L) fi
od:
end proc:
f(0):= 9:
map(f, [$0..100]); # Robert Israel, Nov 05 2025
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Patrick De Geest, Sep 15 1998
EXTENSIONS
Title corrected by Sean A. Irvine, Aug 02 2020
Name edited by Robert Israel, Nov 05 2025
STATUS
approved