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

Author

Jonathan Vos Post, Aug 16 2012

Keywords

• nonn
• base
• easy

Examples

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

References

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

Crossrefs

Cf. A000578, A033819.

Programs

Mathematica

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

PARI

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

Formula

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