cp's OEIS Frontend

A134698 Self-power numbers (or SPN's): numbers n with property that for each single digit d of n, we can also see the decimal expansion of the d-th power of some number as a substring of n and also n contains no 0's or 1's.

%I A134698 #6 Apr 04 2015 10:03:19
%S A134698 32564,232564,256432,322564,325642,325643,325644,325645,325646,325648,
%T A134698 325664,332564,432564,532564,632564,643256,832564,2232564,2256432,
%U A134698 2322564,2325642,2325643,2325644,2325645,2325646,2325648,2325664,2332564,2432564,2532564
%N A134698 Self-power numbers (or SPN's): numbers n with property that for each single digit d of n, we can also see the decimal expansion of the d-th power of some number as a substring of n and also n contains no 0's or 1's.
%C A134698 Computed by _M. F. Hasler_, Feb 02 2008, Feb 03 2008
%C A134698 There are an infinite number of SPN's, since for example we can prefix n by any digit of n.
%H A134698 M. F. Hasler, <a href="/A134698/b134698.txt">Table of n, a(n) for n = 1..1158</a>
%e A134698 n = 32564 is a member because we can see a cube (64) in n, a square (4 or 25), a fifth power (32), a sixth power (64) and a fourth power (256).
%Y A134698 Cf. A134949, A134947, A134439, A134692, A134948.
%K A134698 nonn,base
%O A134698 1,1
%A A134698 _Eric Angelini_, Jul 05 2005
%E A134698 More terms from _M. F. Hasler_, Feb 02 2008