A036535 Smallest cube containing exactly n 8's.

0, 8, 74088, 778688, 82881856, 835896888, 13858588808, 4862885368888, 148388768680888, 18861880880549888, 8228852188683588288, 28918668584888698888, 2888985884683248888875, 88474488708885888872808, 8889858696418898888882863, 8808698038888853888858648

Offset

0,2

Comments

a(n)^(1/3) = A048373(n) is the index of the first occurrence of n in sequence A269248. - M. F. Hasler, Feb 21 2016

Links

Giovanni Resta, Table of n, a(n) for n = 0..22

Formula

a(n) = A048373(n)^3. - M. F. Hasler, Feb 21 2016

Mathematica

nsmall = Table[Infinity, 20];
For[i = 0, i <= 10^6, i++, n0 = Count[IntegerDigits[i^3], 8];
  If[nsmall[[n0 + 1]] > i^3, nsmall[[n0 + 1]] = i^3]];
Cases[nsmall, _?NumberQ] (* Robert Price, Mar 21 2020 *)

Crossrefs

Cf. A048373, A036527 - A036536 for other digits 0 - 9.

Analog for squares: A036515 = A048353^2.

Sequence in context: A067055 A137142 A368066 * A259167 A048565 A339777

Adjacent sequences: A036532 A036533 A036534 * A036536 A036537 A036538

Keyword

nonn,base

Author

David W. Wilson

Extensions

Extended with a(0) = 0 by M. F. Hasler, Feb 21 2016

a(11)-a(15) from Giovanni Resta, Jun 29 2018

Status

approved