%I
%S 1,2,1816,1,2,1964,1,2,2414,1,2,2527,1,2,2927,1,2,3094,1,7,934,1,8,
%T 733,1,16,272,1,25,272,2,4,733,2,5,374,2,5,626,2,17,124,3,18,126,4,5,
%U 272,4,28,73,5,28,37,5,28,44,5,29,86,6,9,273,6,9,282,6,27,72,9,18,87,9,24,57,9,27,66,19,23,28
%N Triples of numbers {n1 < n2 < n3} such that {n1, n2, n3}^2 together use exactly 9 decimals 1..9, sorted first by n1, then by n2, and by n3.
%e There are exactly 27 such triples:
%e 1. {1,2,1816}^2={1,4,3297856}
%e 2. {1,2,1964}^2={1,4,3857296}
%e 3. {1,2,2414}^2={1,4,5827396}
%e 4. {1,2,2527}^2={1,4,6385729}
%e 5. {1,2,2927}^2={1,4,8567329}
%e 6. {1,2,3094}^2={1,4,9572836}
%e 7. {1,7,934}^2={1,49,872356}
%e 8. {1,8,733}^2={1,64,537289}
%e 9. {1,16,272}^2={1,256,73984}
%e 10. {1,25,272}^2={1,625,73984}
%e 11. {2,4,733}^2={4,16,537289}
%e 12. {2,5,374}^2={4,25,139876}
%e 13. {2,5,626}^2={4,25,391876}
%e 14. {2,17,124}^2={4,289,15376}
%e 15. {3,18,126}^2={9,324,15876}
%e 16. {4,5,272}^2={16,25,73984}
%e 17. {4,28,73}^2={16,784,5329}
%e 18. {5,28,37}^2={25,784,1369}
%e 19. {5,28,44}^2={25,784,1936}
%e 20. {5,29,86}^2={25,841,7396}
%e 21. {6,9,273}^2={36,81,74529}
%e 22. {6,9,282}^2={36,81,79524}
%e 23. {6,27,72}^2={36,729,5184}
%e 24. {9,18,87}^2={81,324,7569}
%e 25. {9,24,57}^2={81,576,3249}
%e 26. {9,27,66}^2={81,729,4356}
%e 27. {19,23,28}^2={361,529,784}.
%Y Cf. A162450, A162839.
%K fini,full,nonn,base
%O 1,2
%A _Zak Seidov_, Jul 06 2009
%E Edited by _Ray Chandler_, Jul 14 2009
