A032748 Super-8 Numbers (8 * n^8 contains substring '88888888' in its decimal expansion).

185423, 641519, 1551728, 1854230, 6415190, 12043464, 12147605, 15517280, 16561735, 18542300, 26908132, 29242698, 33491333, 34982204, 35866945, 37584428, 44263715, 45980752, 54555936, 56148739, 60883944, 64151900

Offset

0,1

References

C. A. Pickover, "Keys to Infinity", New York: Wiley, p. 7, 1995.

Links

Table of n, a(n) for n=0..21.

Eric Weisstein's World of Mathematics, Super-d Number.

Maple

d := 8 ;
for n from 1 do
        convert(d*n^d, base, 10) ;
        if verify([8, 8, 8, 8, 8, 8, 8, 8], %, 'sublist') then
                print(n) ;
        end if;
end do: # R. J. Mathar, Jan 11 2013

Mathematica

Select[Range[65*10^6], SequenceCount[IntegerDigits[8*#^8], {8, 8, 8, 8, 8, 8, 8, 8}]>0&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Dec 24 2016 *)

Crossrefs

Cf. A014569.

Sequence in context: A254779 A254725 A117225 * A180099 A092013 A186878

Adjacent sequences: A032745 A032746 A032747 * A032749 A032750 A032751

Keyword

nonn,base

Author

Patrick De Geest, May 15 1998

Status

approved