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A067973 a(n+1) is the smallest number > a(n) such that the digits of a(n)^3 are all (with multiplicity) contained in the digits of a(n+1)^3, with a(0)=1. 2
1, 5, 8, 25, 105, 678, 2685, 6631, 17248, 48056, 109016, 255085, 576468, 993996, 1026598, 1029697, 1061509, 1089598, 1231339, 1374358, 1753291, 1832389, 1896319, 2161819, 2162446, 2163199, 2231416, 2263201, 2264893, 2674003 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

If "contained in" is replaced by "properly contained in" we get A067971.

EXAMPLE

5^3 = 125 and 8 is the next smallest number whose cube (in this case 512) that contains the digits 1,2,5.

CROSSREFS

Cf. A067971, A065298, A067974, A014563, A065297.

Sequence in context: A025623 A069959 A038250 * A101584 A112577 A192920

Adjacent sequences:  A067970 A067971 A067972 * A067974 A067975 A067976

KEYWORD

base,nonn

AUTHOR

Marc Paulhus (paulhus(AT)wanadoo.nl), Feb 05 2002

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Last modified February 16 16:28 EST 2012. Contains 205938 sequences.