A294996 Numbers n such that the largest digit of n^3 is 6.

4, 6, 25, 36, 37, 40, 51, 60, 64, 77, 85, 86, 117, 118, 134, 136, 146, 154, 185, 218, 236, 250, 345, 360, 370, 374, 381, 384, 400, 405, 465, 510, 585, 586, 587, 600, 606, 625, 640, 705, 770, 805, 806, 825, 845, 850, 860, 1011, 1021, 1045, 1046, 1081, 1101, 1124, 1136, 1145, 1146, 1170, 1177, 1180

Offset

1,1

Comments

For any term a(n), all numbers of the form a(n)*10^k, k >= 0, are in this sequence. We could call "primitive" the terms not of this form, i.e., without trailing '0'.

Includes a*10^k+b for k >= 3 and [a,b] in {[11, 1], [5, 4], [4, 5], [6, 5], [5, 6], [11, 10], [1, 11], [10, 11]}, and 8*10^k+8 for k >= 4. - Robert Israel, Jul 22 2019

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

4 is in the sequence because the largest digit of 4^3 = 64 is 6.

Prog

(PARI) for(n=1, 2e3, vecmax(digits(n^3))==6&&print1(n", "))

Crossrefs

Cf. A295021 (the corresponding cubes); A278937, A294664, A294665, A294997 .. A294999 (same for digit 3, ..., 9); A295006 (same for squares).

Cf. A000578 (the cubes).

Sequence in context: A239625 A123055 A272306 * A176858 A182333 A028273

Adjacent sequences: A294993 A294994 A294995 * A294997 A294998 A294999

Keyword

nonn,base

Author

M. F. Hasler, Nov 13 2017

Status

approved