A295024 - OEIS

A295024

Cubes whose largest digit is 9.

729, 2197, 4096, 4913, 6859, 9261, 19683, 21952, 24389, 29791, 35937, 39304, 59319, 68921, 79507, 91125, 97336, 110592, 117649, 185193, 195112, 205379, 226981, 287496, 328509, 357911, 389017, 438976, 493039, 592704, 704969, 729000, 912673, 941192, 970299, 1092727, 1191016

(list; graph; refs; listen; history; text; internal format)

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..37.

FORMULA

a(n) = A294999(n)^3.

EXAMPLE

2197 is in the sequence because it is a cube, 2197 = 13^3, and its largest digit is 9.

PROG

(PARI) for(n=1, 150, vecmax(digits(n^3))==8 &&print1(n^3, ", "))

CROSSREFS

Cf. A294999 (the corresponding cube roots), A278936, A294663, A295025, A295021, A295022, A295023 (same for digit 3 .. 8), A295019 (same for squares).

Cf. A000578 (the cubes).

Sequence in context: A255112 A255627 A139308 * A167728 A050220 A236334

Adjacent sequences: A295021 A295022 A295023 * A295025 A295026 A295027

KEYWORD

nonn,base

AUTHOR

M. F. Hasler, Nov 13 2017

STATUS

approved