A295023 Cubes whose largest digit is 8.

8, 1728, 5832, 8000, 10648, 13824, 32768, 42875, 54872, 74088, 85184, 103823, 140608, 148877, 238328, 373248, 421875, 551368, 571787, 658503, 681472, 778688, 804357, 830584, 857375, 884736, 1061208, 1124864, 1481544, 1520875, 1728000, 1815848, 1860867, 2048383, 2628072, 2803221

Offset

1,1

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'.

Links

Table of n, a(n) for n=1..36.

Formula

a(n) = A294998(n)^3.

Example

8 is in the sequence because it is a cube, 8 = 2^3, and its largest digit is 8.

Prog

(PARI) for(n=1, 200, vecmax(digits(n^3))==8 &&print1(n^3, ", "))

Crossrefs

Cf. A294998 (the corresponding cube roots), A278936, A294663, A295025, A295021, A295022, A295024 (same for digit 3 .. 9), A295018 (same for squares).

Cf. A000578 (the cubes).

Sequence in context: A163017 A221136 A230512 * A017295 A154713 A061719

Adjacent sequences: A295020 A295021 A295022 * A295024 A295025 A295026

Keyword

nonn,base

Author

M. F. Hasler, Nov 13 2017

Status

approved