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A093852 10^(n-1)-1+n*floor(9*10^(n-1)/(n+1)). 1
4, 69, 774, 8199, 84999, 871425, 8874999, 89999999, 909999999, 9181818179, 92499999999, 930769230759, 9357142857140, 93999999999999, 943749999999999, 9470588235294111, 94999999999999999, 952631578947368403, 9549999999999999999, 95714285714285714279 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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. The r-th term of the n-th row is given by 10^(n-1)-1 + (r)*Floor[9*(10^(n-1)/(n+1)] 4 39 69 324 549 774 2799 4599 6399 8199 ... Sequence contains the leading diagonal.

the n-th row of this triangle can be obtained by deleting the least significant digit (9) from the (n+1)-th row of the triangle pertaining to A093846 ignoring the last term ( 10^(n+1) -1).

EXAMPLE

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.

The r-th term of the n-th row is given by 10^(n-1)-1 + (r)*Floor[9*(10^(n-1)/(n+1)]

4

39 69

324 549 774

2799 4599 6399 8199

...

Sequence contains the leading diagonal.

MAPLE

A093852 := proc(n)

        r := n ;

        10^(n-1)-1+r*floor(9*10^(n-1)/(n+1)) ;

end proc:

seq(A093852(n), n=1..50) ; # R. J. Mathar, Oct 01 2011

CROSSREFS

Cf. A093846, A093847, A061772, A093450, A072875.

Sequence in context: A174809 A125587 A134794 * A065573 A101841 A061609

Adjacent sequences:  A093849 A093850 A093851 * A093853 A093854 A093855

KEYWORD

easy,nonn,uned

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 18 2004

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Last modified February 16 17:11 EST 2012. Contains 205938 sequences.