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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 Table of n, a(n) for n=1..18. 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 Cf. A169738 Sequence in context: A044180 A044561 A169680 * A169738 A063329 A172465 Adjacent sequences: A177769 A177770 A177771 * A177773 A177774 A177775 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.)