A077744 Smallest number whose cube ends in n, or 0 if no such number exists. a(n) = A077743(n)^(1/3).

1, 8, 7, 4, 5, 6, 3, 2, 9, 0, 71, 8, 17, 0, 0, 6, 73, 0, 39, 0, 41, 0, 47, 24, 5, 0, 3, 12, 9, 0, 11, 18, 77, 0, 0, 46, 33, 0, 79, 0, 81, 0, 7, 14, 0, 0, 63, 22, 49, 0, 51, 28, 37, 0, 0, 36, 93, 0, 19, 0, 21, 0, 67, 4, 0, 0, 23, 32, 89, 0, 91, 38, 97, 0, 15, 26, 53, 0, 59, 0, 61, 0, 27, 44, 0

Offset: 1

Author

Amarnath Murthy, Nov 20 2002

Keywords

• base
• nonn

Examples

			a(13) = 17, a(10) = 0.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000578, A077743, A246449.

Programs

Maple

f:= proc(n) local m,r,x;
  m:= 10^(ilog10(n)+1);
  r:= [msolve(x^3=n,m)];
  if r = [] then 0 else min(map(t -> rhs(op(t)),r)) fi
end proc:
map(f, [$1..100]); # Robert Israel, Mar 05 2023

Formula

a(m*10^(3*k+1)) = a(m*10^(3*k+2)) = 0.

Extensions

More terms from Sascha Kurz, Jan 07 2003