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.

32564, 232564, 256432, 322564, 325642, 325643, 325644, 325645, 325646, 325648, 325664, 332564, 432564, 532564, 632564, 643256, 832564, 2232564, 2256432, 2322564, 2325642, 2325643, 2325644, 2325645, 2325646, 2325648, 2325664, 2332564, 2432564, 2532564

Offset

1,1

Comments

Computed by M. F. Hasler, Feb 02 2008, Feb 03 2008

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

Links

M. F. Hasler, Table of n, a(n) for n = 1..1158

Example

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).

Crossrefs

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

Sequence in context: A243857 A028240 A251000 * A134949 A134947 A172700

Adjacent sequences: A134695 A134696 A134697 * A134699 A134700 A134701

Keyword

nonn,base

Author

Eric Angelini, Jul 05 2005

Extensions

More terms from M. F. Hasler, Feb 02 2008

Status

approved