A294999 Numbers n such that the largest digit of n^3 is 9.

9, 13, 16, 17, 19, 21, 27, 28, 29, 31, 33, 34, 39, 41, 43, 45, 46, 48, 49, 57, 58, 59, 61, 66, 69, 71, 73, 76, 79, 84, 89, 90, 97, 98, 99, 103, 106, 108, 109, 112, 113, 116, 119, 124, 125, 128, 129, 130, 131, 132, 139, 143, 144, 148, 149, 151, 156, 157, 158, 159, 160, 164, 165, 166, 169

Offset: 1

Author

M. F. Hasler, Nov 13 2017

Keywords

• nonn
• base

Comments

For any term a(n), all numbers of the form a(n)*10^k, k >= 0, are in this sequence. We could call "primitive" the terms not of this form, i.e., without trailing '0'.

Examples

			13 is in the sequence because the largest digit of 13^3 = 2197 is 9.
		

Crossrefs

Cf. A295024 (the corresponding cubes); A278937, A294664, A294665, A294996, A294997, A294998 (same for digit 3, ..., 8).

Cf. A000578 (the cubes).

Programs

Mathematica

Select[Range[200],Max[IntegerDigits[#^3]]==9&] (* Harvey P. Dale, Jul 08 2018 *)

PARI

for(n=1,200, vecmax(digits(n^3))==9&&print1(n","))