A278936 Cubes whose largest decimal digit is 3.

1331, 1030301, 1331000, 1003003001, 1030301000, 1331000000, 1000300030001, 1003003001000, 1030301000000, 1331000000000, 1000030000300001, 1000300030001000, 1003003001000000, 1030301000000000, 1331000000000000, 321302302131323213, 1000003000003000001

Offset: 1

Author

Colin Barker, Dec 02 2016

Keywords

• nonn
• base

Examples

			321302302131323213 is in the sequence because 321302302131323213 = 684917^3 and its largest digit is 3.
		

Crossrefs

Cf. A000578, A277947 (same for squares), A278937 (the cube roots).

Programs

Magma

[n^3: n in [1..2*10^7] | Max(Intseq(n^3)) eq 3]; // Bruno Berselli, Dec 02 2016

Mathematica

Select[Range[1000010]^3,Max[IntegerDigits[#]]==3&] (* Harvey P. Dale, Feb 09 2019 *)

PARI

select(n->vecmax(digits(n))==3, vector(1000000, n, n^3))

Formula

a(n) = A278937(n)^3.