A067971 a(n+1) is the smallest number > a(n) such that the digits of a(n)^3 are all (with multiplicity) properly contained in the digits of a(n+1)^3, with a(0)=1.

1, 5, 25, 105, 678, 2685, 6631, 17248, 48056, 109016, 255085, 576468, 1026598, 2161819, 4793623, 10107506, 21624889, 46584891, 100042239, 215671305, 464309988, 1000305876, 2156229901, 4642492109, 10000266599

Offset

0,2

Links

Table of n, a(n) for n=0..24.

Example

5^3 = 125 and 25 is the next smallest number whose cube (in this case 15625) properly contains the digits 1,2,5.

Crossrefs

Cf. A000578, A065297, A065298, A067972.

Sequence in context: A146882 A218264 A264018 * A266424 A224129 A111641

Adjacent sequences: A067968 A067969 A067970 * A067972 A067973 A067974

Keyword

base,nonn

Author

Marc Paulhus, Feb 05 2002

Extensions

a(22)-a(24) from Sean A. Irvine, Jan 16 2024

Status

approved