A067074 a(n) = smallest cube m^3 such that the sum of the digits of m^3 is equal to n^3.

0, 1, 8, 19683, 1693669888, 39677989979796875, 56984998629886989599887999587

Offset: 0

Author

Amarnath Murthy, Jan 05 2002

Keywords

• base
• nonn
• more

Comments

If n = 6*k, a(n) <= A272066(n^3/18). - Seiichi Manyama, Aug 12 2017

Examples

			a(3) = 19683 as it is the smallest cube whose digit sum = 27 = 3^3.
		

Crossrefs

Cf. A000578, A067072, A067075.

Formula

a(n) = A067075(n)^3. - R. J. Mathar, Aug 23 2018

Extensions

Corrected by Stefan Steinerberger, Nov 09 2005, using existing corrections to A067075

a(0)=0 prepended by Seiichi Manyama, Aug 12 2017