A048365 - OEIS

A048365

a(n)^3 is smallest cube containing exactly n 0's.

1, 0, 52, 10, 160, 520, 100, 1600, 5200, 1000, 16000, 52000, 10000, 160000, 520000, 100000, 1600000, 5200000, 1000000, 16000000, 52000000, 10000000, 160000000, 520000000, 100000000, 1600000000, 5200000000, 1000000000

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OFFSET

0,3

COMMENTS

a(n) is the index of the first occurrence of n in A269250.-- Is there an index n = 3k+1 or n = 3k+2 from which on the pattern a(3k+1) = 16*10^k resp. a(3k+2) = 52*10^k is no longer true? - M. F. Hasler, Feb 20 2016

LINKS

Table of n, a(n) for n=0..27.

Eric Weisstein's World of Mathematics, Cubic Number

FORMULA

a(3k) = 10^k; a(3k+1) <= 16*10^k (k>0), a(3k+2) <= 52*10^k. - M. F. Hasler, Feb 20 2016

MATHEMATICA

nsmall = Table[Infinity, 12];

For[i = 0, i <= 52000, i++, n0 = Count[IntegerDigits[i^3], 0];

If[nsmall[[n0]] > i, nsmall[[ n0]] = i]];

Join[{1}, nsmall] (* Robert Price, Sep 26 2018 *)

CROSSREFS

Cf. A036527, A269250.