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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. 9

%I #6 Apr 04 2015 10:03:19

%S 32564,232564,256432,322564,325642,325643,325644,325645,325646,325648,

%T 325664,332564,432564,532564,632564,643256,832564,2232564,2256432,

%U 2322564,2325642,2325643,2325644,2325645,2325646,2325648,2325664,2332564,2432564,2532564

%N 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 Computed by _M. F. Hasler_, Feb 02 2008, Feb 03 2008

%C There are an infinite number of SPN's, since for example we can prefix n by any digit of n.

%H M. F. Hasler, <a href="/A134698/b134698.txt">Table of n, a(n) for n = 1..1158</a>

%e 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 Cf. A134949, A134947, A134439, A134692, A134948.

%K nonn,base

%O 1,1

%A _Eric Angelini_, Jul 05 2005

%E More terms from _M. F. Hasler_, Feb 02 2008

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)