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A093852
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a(n) = 10^(n-1) - 1 + n*floor(9*10^(n-1)/(n+1)).
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2
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4, 69, 774, 8199, 84999, 871425, 8874999, 89999999, 909999999, 9181818179, 92499999999, 930769230759, 9357142857140, 93999999999999, 943749999999999, 9470588235294111, 94999999999999999, 952631578947368403, 9549999999999999999, 95714285714285714279
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OFFSET
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1,1
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COMMENTS
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This sequence is the main diagonal of A093850.
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LINKS
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EXAMPLE
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n-th row of the following triangle contains n uniformly located n-digit numbers. i.e. n terms of an arithmetic progression with 10^(n-1)-1 as the term preceding the first term and (n+1)-th term is the largest possible n-digit term.
Given the triangle defined in A093850:
...4;
..39 69;
.324 549 774;
2799 4599 6399 8199.....
then this sequence is the leading diagonal.
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MAPLE
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r := n ;
10^(n-1)-1+r*floor(9*10^(n-1)/(n+1)) ;
end proc:
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MATHEMATICA
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Table[10^(n-1) -1 +n*Floor[9*10^(n-1)/(n+1)], {n, 25}] (* G. C. Greubel, Mar 21 2019 *)
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PROG
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(PARI) {a(n) = 10^(n-1) -1 +n*floor(9*10^(n-1)/(n+1))}; \\ G. C. Greubel, Mar 21 2019
(Magma) [10^(n-1) -1 +n*Floor(9*10^(n-1)/(n+1)): n in [1..25]]; // G. C. Greubel, Mar 21 2019
(Sage) [10^(n-1) -1 +n*floor(9*10^(n-1)/(n+1)) for n in (1..25)] # G. C. Greubel, Mar 21 2019
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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