OFFSET
1,1
COMMENTS
This sequence is the main diagonal of A093850.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..995
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.
Given the triangle defined in A093850:
...4;
..39 69;
.324 549 774;
2799 4599 6399 8199.....
then this sequence is 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
MATHEMATICA
Table[10^(n-1) -1 +n*Floor[9*10^(n-1)/(n+1)], {n, 25}] (* G. C. Greubel, Mar 21 2019 *)
PROG
(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
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Amarnath Murthy, Apr 18 2004
STATUS
approved