A077743 Smallest cube ending in n, or 0 if no such cube exists.

1, 512, 343, 64, 125, 216, 27, 8, 729, 0, 357911, 512, 4913, 0, 0, 216, 389017, 0, 59319, 0, 68921, 0, 103823, 13824, 125, 0, 27, 1728, 729, 0, 1331, 5832, 456533, 0, 0, 97336, 35937, 0, 493039, 0, 531441, 0, 343, 2744, 0, 0, 250047, 10648, 117649, 0, 132651

Offset

1,2

Links

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

Formula

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

Example

a(1) = 4913 = 17^3, a(10) = 0.

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))^3 fi
end proc:
map(f, [$1..100]); # Robert Israel, Mar 05 2023

Crossrefs

Cf. A000578, A077744, A246449.

Sequence in context: A376951 A190033 A190025 * A111447 A224563 A217849

Adjacent sequences: A077740 A077741 A077742 * A077744 A077745 A077746

Keyword

base,nonn

Author

Amarnath Murthy, Nov 20 2002

Extensions

More terms from Sascha Kurz, Jan 07 2003

Status

approved