%I #8 Jul 31 2013 01:45:38
%S 1,12,21,22,123,132,213,231,312,321,333,1224,1234,1242,1243,1324,1342,
%T 1422,1423,1432,2124,2134,2142,2143,2214,2241,2244,2314,2341,2412,
%U 2413,2421,2424,2431,2442,3124,3142,3214,3241,3412,3421,4122,4123,4132,4212,4213
%N Positive numbers without the digit 0 such that sum of cubes of the digits equals the square of the sum of the digits.
%C There are a total of 320880755 numbers in this sequence.
%H T. D. Noe, <a href="/A227073/b227073.txt">Table of n, a(n) for n = 1..2987</a> (numbers less than 10^6)
%t (* let tx[[i]] be numbers computed in A227072 *) Sort[Flatten[
%t Table[FromDigits /@ Permutations[IntegerDigits[tx[[n]]]], {n, 14}]]]
%Y Cf. A225567 (primes in a related sequence), A227072.
%K nonn,base,fini
%O 1,2
%A _T. D. Noe_, Jul 27 2013