login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A162554 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. 2

%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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 18 05:04 EST 2014. Contains 252079 sequences.