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4, 39, 324, 2799, 24999, 228570, 2124999, 19999999, 189999999, 1818181817, 17499999999, 169230769229, 1642857142856, 15999999999999, 156249999999999, 1529411764705881, 14999999999999999, 147368421052631577, 1449999999999999999, 14285714285714285713
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The first column r=1 of a triangle defined by T(n,r) = 10^(n-1)-1 + (r)*floor(9* 10^(n-1)/ (n+1)).
A row starts with a (virtual) 0-th column of a rep-9-digit and fills
the remainder with n+1 numbers in arithmetic progression with the
largest step such that all numbers in the n-th row are n-digits numbers.
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EXAMPLE
| The triangle starts in row n=1 as
4 9 # -1, -1+5, -1+2*5
39 69 99 # 9,9+30,9+2*30
324 549 774 999 # 99, 99+225, 99+2*225, 99+3*225
2799 4599 6399 8199 9999 # 999, 999+1800, 999+2*1800,..
...
The sequence contains the first column.
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MAPLE
| A093851 := proc(n) 10^(n-1)-1+floor(9*10^(n-1)/(n+1)) ; end proc: seq(A093851(n), n=1..20) ; # R. J. Mathar, Oct 14 2010
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CROSSREFS
| Cf. A093846, A093847, A061772, A093450, A093552.
Sequence in context: A112460 A059945 A198853 * A063035 A123618 A199757
Adjacent sequences: A093848 A093849 A093850 * A093852 A093853 A093854
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KEYWORD
| base,easy,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 18 2004
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leideuniv.nl), Oct 14 2010
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