A162554 - OEIS

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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.

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; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..81.

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: A080642 A108331 A263076 * A167840 A113917 A259487

Adjacent sequences: A162551 A162552 A162553 * A162555 A162556 A162557

KEYWORD

fini,full,nonn,base

AUTHOR

Zak Seidov, Jul 06 2009

EXTENSIONS

Edited by Ray Chandler, Jul 14 2009

STATUS

approved