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A177772 Base 10 numbers d_1 d_2 ... d_k such that the digits d_i are distinct, and Sum_{i=1..k-1} d_i^i = d_k^k. 0
42, 93, 253, 712, 802, 6312, 7302, 9823, 25603, 40312, 41302, 65012, 65102, 714523, 781523, 804523, 65072413, 65172403 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The sequence is identical to A169738 except that the current sequence permits numbers containing the digit zero whereas A169738 does not.
LINKS
MATHEMATICA
okQ[l_List]:=Module[{lp=l^Range[Length[l]]}, Total[Most[lp]]==Last[lp]] l1=Sort[FromDigits /@ Select[Flatten[ Table[Permutations /@ Subsets[Range[0, 9], {i}], {i, 2, 10}], 2], okQ]]; Select[l1, okQ[IntegerDigits[ # ]]&]
CROSSREFS
Sequence in context: A044180 A044561 A169680 * A169738 A063329 A172465
KEYWORD
base,fini,full,nonn
AUTHOR
Harvey P. Dale, May 13 2010
STATUS
approved

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Last modified June 25 13:13 EDT 2024. Contains 373705 sequences. (Running on oeis4.)