login
A295023
Cubes whose largest digit is 8.
4
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'.
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
KEYWORD
nonn,base
AUTHOR
M. F. Hasler, Nov 13 2017
STATUS
approved