A169738 Base 10 numbers d_1 d_2 ... d_k such that the digits d_i are distinct and not zero, and Sum_{i=1..k-1} d_i^i = d_k^k.

42, 93, 253, 712, 6312, 9823, 714523, 781523

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Example

6312 is in the sequence because 6^1+3^2+1^3=2^4, and 781523 is in the sequence because 7^1+8^2+1^3+5^4+2^5=3^6.

Mathematica

okQ[l_List] := Module[{lp= l^Range[Length[l]]}, Plus @@ Most[lp] == Last[lp]]
Sort[FromDigits/@Select[Flatten[Table[Permutations/@Subsets[Range[9], {i} ], {i, 2, 9}], 2], okQ]]

Crossrefs

Sequence in context: A044561 A169680 A177772 * A063329 A172465 A235109

Adjacent sequences: A169735 A169736 A169737 * A169739 A169740 A169741

Keyword

nonn,base,fini,full

Author

Harvey P. Dale, May 01 2010, May 04 2010

Status

approved