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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. 1
42, 93, 253, 712, 6312, 9823, 714523, 781523 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
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
KEYWORD
nonn,base,fini,full
AUTHOR
Harvey P. Dale, May 01 2010, May 04 2010
STATUS
approved

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Last modified June 22 02:17 EDT 2024. Contains 373561 sequences. (Running on oeis4.)