A215558 Cubes whose final digits are the cube root.

0, 1, 64, 125, 216, 729, 13824, 15625, 117649, 132651, 421875, 438976, 970299, 1953125, 15438249, 15813251, 52734375, 53157376, 124251499, 125751501, 242970624, 244140625, 420189749, 423564751, 669921875, 997002999, 1948441249, 52776573751, 83740234375

Offset

1,3

References

Philip Carter & Ken Russell, Problem 31, p. 86, The Complete Book of Fun Maths, John Wiley, 2004.

Links

Table of n, a(n) for n=1..29.

Formula

a(n) = A033819(n)^3.

Example

6 * 6 * 6 = 216, which has "6" as rightmost digit.

Mathematica

Select[Range[0, 100]^3, Mod[#, 10]==Surd[#, 3]||Mod[#, 100]==Surd[#, 3]&] (* Harvey P. Dale, Mar 03 2023 *)

Prog

(PARI) apply(x->x^3, select(x -> (x^3 - x) % 10^(#digits(x)) == 0, [0..99])) \\ David A. Corneth, Feb 11 2020

Crossrefs

Cf. A000578, A033819.

Sequence in context: A195678 A029777 A145464 * A324487 A258001 A255996

Adjacent sequences: A215555 A215556 A215557 * A215559 A215560 A215561

Keyword

nonn,base,easy

Author

Jonathan Vos Post, Aug 16 2012

Status

approved