A227073 Positive numbers without the digit 0 such that sum of cubes of the digits equals the square of the sum of the digits.

1, 12, 21, 22, 123, 132, 213, 231, 312, 321, 333, 1224, 1234, 1242, 1243, 1324, 1342, 1422, 1423, 1432, 2124, 2134, 2142, 2143, 2214, 2241, 2244, 2314, 2341, 2412, 2413, 2421, 2424, 2431, 2442, 3124, 3142, 3214, 3241, 3412, 3421, 4122, 4123, 4132, 4212, 4213

Offset

1,2

Comments

There are a total of 320880755 numbers in this sequence.

Links

T. D. Noe, Table of n, a(n) for n = 1..2987 (numbers less than 10^6)

Mathematica

(* let tx[[i]] be numbers computed in A227072 *) Sort[Flatten[
  Table[FromDigits /@ Permutations[IntegerDigits[tx[[n]]]], {n, 14}]]]

Crossrefs

Cf. A225567 (primes in a related sequence), A227072.

Sequence in context: A129939 A082799 A089320 * A116700 A132132 A248378

Adjacent sequences: A227070 A227071 A227072 * A227074 A227075 A227076

Keyword

nonn,base,fini

Author

T. D. Noe, Jul 27 2013

Status

approved