A066390 Smallest cube that contains exactly n consecutive internal 0's and no other 0s.

1, 4096, 250047, 2000376, 21300003648, 100000721719296, 64927000000829448, 14123877000000067, 9999699366860000000091, 70000000009754982974477, 24647736180000000000817838592, 3314969780000000000035268964568841, 582244272575941991000000000000826824, 2877745360000000000000183218187366976

Offset

0,2

Links

Table of n, a(n) for n=0..13.

Mathematica

Do[ While[a = Flatten[ Position[ IntegerDigits[ k^3], 0]]; Mod[k, 10] == 0 || Length[a] < n || Last[a] - First[a] + 1 != n, k++ ]; Print[k^3], {n, 0, 7} ]

Crossrefs

The cube roots are in A066391. Cf. A066371.

Sequence in context: A016782 A017488 A017620 * A016806 A231844 A232961

Adjacent sequences: A066387 A066388 A066389 * A066391 A066392 A066393

Keyword

nonn,base,less

Author

Robert G. Wilson v, Dec 23 2001

Extensions

Title clarified, a(7) corrected and a(8)-a(10) from Sean A. Irvine, Oct 11 2023

a(11) from Michael S. Branicky, Nov 15 2023

a(12)-a(13) from Michael S. Branicky, Dec 22 2023

Status

approved