A294663 Cubes whose largest digit is 4.

343, 314432, 343000, 34012224, 314432000, 343000000, 34012224000, 314432000000, 343000000000, 442102433032, 30304210142233, 34012224000000, 143121324002112, 314432000000000, 333014302331144, 343000000000000, 442102433032000, 30304210142233000, 34012224000000000

Offset

1,1

Comments

For any term a(n), all numbers of the form a(n)*10^3k, k >= 0, are in this sequence. Primitive terms, i.e., not of this form (or equivalently: without trailing '0'), are 343, 314432, 34012224, 442102433032, 30304210142233, 143121324002112, 333014302331144, ...

Links

Table of n, a(n) for n=1..19.

Formula

a(n) = A294664(n)^3.

Example

343 is in the sequence because it is a cube, 343 = 7^3, and its largest digit is 4.

Prog

(PARI) for(n=1, 2e8, vecmax(digits(n^3))==4&&print1(n^3, ", "))

Crossrefs

Cf. A294664 (the corresponding cubic roots).

Cf. A277948 = A277961^2 (analog for squares).

Cf. A278936, A295025, A295021, ..., A295024 (analog for digits 3, 5, 6, ..., 9).

Cf. A000578 (the cubes).

Sequence in context: A117197 A269554 A046236 * A222460 A013787 A013844

Adjacent sequences: A294660 A294661 A294662 * A294664 A294665 A294666

Keyword

nonn,base

Author

M. F. Hasler, Nov 12 2017

Status

approved