A383640 Internal digits of k^3 include digits of k as substring, k does not end in 0.

56, 782, 5111, 8089, 8216, 9553, 11768, 14357, 18229, 53257, 64164, 65137, 72556, 98442, 213405, 271516, 830686, 941976, 1969394, 2420681, 2751442, 4150015, 5354867, 7045156, 9590417, 9699457, 10333214, 13427757, 21955652, 31213974, 32743132, 35272742

Offset: 1

Author

Shyam Sunder Gupta, May 03 2025

Keywords

• nonn
• base

Examples

			56 is in the sequence as 56^3 = 175616 contains 56 in its decimal expansion.
		

Links

• Shyam Sunder Gupta, Table of n, a(n) for n = 1..76
• Shyam Sunder Gupta, Elegance of Squares, Cubes, and Higher Powers, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 2, 29-81.

Crossrefs

Cf. A052210, A046837.

Programs

Mathematica

Select[Range[5,10^6],Mod[#,10]>0&&SequenceCount[Rest[Drop[IntegerDigits[#^3],-1]],IntegerDigits[#]]>0&] (* James C. McMahon, May 09 2025 *)