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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. +0
3
1, 2, 1816, 1, 2, 1964, 1, 2, 2414, 1, 2, 2527, 1, 2, 2927, 1, 2, 3094, 1, 7, 934, 1, 8, 733, 1, 16, 272, 1, 25, 272, 2, 4, 733, 2, 5, 374, 2, 5, 626, 2, 17, 124, 3, 18, 126, 4, 5, 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 (list; graph; listen)
OFFSET

1,2

EXAMPLE

There are exactly 27 such triples:

1. {1,2,1816}^2={1,4,3297856}

2. {1,2,1964}^2={1,4,3857296}

3. {1,2,2414}^2={1,4,5827396}

4. {1,2,2527}^2={1,4,6385729}

5. {1,2,2927}^2={1,4,8567329}

6. {1,2,3094}^2={1,4,9572836}

7. {1,7,934}^2={1,49,872356}

8. {1,8,733}^2={1,64,537289}

9. {1,16,272}^2={1,256,73984}

10. {1,25,272}^2={1,625,73984}

11. {2,4,733}^2={4,16,537289}

12. {2,5,374}^2={4,25,139876}

13. {2,5,626}^2={4,25,391876}

14. {2,17,124}^2={4,289,15376}

15. {3,18,126}^2={9,324,15876}

16. {4,5,272}^2={16,25,73984}

17. {4,28,73}^2={16,784,5329}

18. {5,28,37}^2={25,784,1369}

19. {5,28,44}^2={25,784,1936}

20. {5,29,86}^2={25,841,7396}

21. {6,9,273}^2={36,81,74529}

22. {6,9,282}^2={36,81,79524}

23. {6,27,72}^2={36,729,5184}

24. {9,18,87}^2={81,324,7569}

25. {9,24,57}^2={81,576,3249}

26. {9,27,66}^2={81,729,4356}

27. {19,23,28}^2={361,529,784}.

CROSSREFS

Cf. A162450, A162839.

Sequence in context: A011541 A080642 A108331 this_sequence A113917 A160299 A125635

Adjacent sequences: A162551 A162552 A162553 this_sequence A162555 A162556 A162557

KEYWORD

fini,full,nonn,base

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Jul 06 2009

EXTENSIONS

Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jul 14 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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