A295021 Cubes whose largest digit is 6.

64, 216, 15625, 46656, 50653, 64000, 132651, 216000, 262144, 456533, 614125, 636056, 1601613, 1643032, 2406104, 2515456, 3112136, 3652264, 6331625, 10360232, 13144256, 15625000, 41063625, 46656000, 50653000, 52313624, 55306341, 56623104, 64000000, 66430125, 100544625

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)*10^3k, k >= 0, are in this sequence. We could call "primitive" the terms not of this form, i.e., those without trailing '0'.

Examples

			64 is in the sequence because it is a cube, 64 = 4^3, and its largest digit is 6.
		

Crossrefs

Cf. A294996 (the corresponding cube roots); A278936, A294663, A295025, A295022, A295023, A295024 (same for digit 3 .. 9); A295016 (same for squares).

Cf. A000578 (the cubes).

Programs

Mathematica

Select[Range[500]^3,Max[IntegerDigits[#]]==6&] (* Harvey P. Dale, Jun 21 2022 *)

PARI

for(n=1,500, vecmax(digits(n^3))==6 &&print1(n^3,","))

Formula

a(n) = A294996(n)^3.