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

1,1

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..31.

Formula

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

Example

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

Mathematica

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

Prog

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

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).

Sequence in context: A091077 A245991 A186637 * A194932 A016994 A258732

Adjacent sequences: A295018 A295019 A295020 * A295022 A295023 A295024

Keyword

nonn,base

Author

M. F. Hasler, Nov 13 2017

Status

approved