

A082399


a(1) = 1; thereafter, a(n) is the smallest nonnegative number such that the number Sum_{i=1..n} a(i)*10^(ni) is divisible by n.


3



1, 0, 2, 0, 0, 0, 5, 6, 4, 0, 5, 10, 2, 2, 5, 6, 16, 8, 14, 0, 7, 18, 19, 2, 5, 10, 6, 0, 25, 20, 2, 20, 17, 12, 20, 28, 13, 4, 13, 30, 16, 20, 36, 4, 35, 28, 28, 16, 29, 10, 39, 14, 12, 4, 50, 20, 14, 24, 7, 50, 14, 54, 55, 18, 10, 44, 62, 52, 63, 50, 7, 18, 6, 62, 55, 54, 54, 54, 35, 10
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OFFSET

1,3


COMMENTS

Suggested by studying A144688. If all a(n) had turned out to be in the range 0 to 9 then this sequence would have produced a counterexample to the assertion that A144688 is finite.
The old entry with this Anumber was a duplicate of A080825.


LINKS

Paul Tek, Table of n, a(n) for n = 1..10000


EXAMPLE

After we have the first 11 terms, 1,0,2,0,0,0,5,6,4,0,5, the next number x must be chosen so that 102000564050 + x is divisible by 12; this implies that x = 10.


MAPLE

M:=80; a[1]:=1; N:=1;
for n from 2 to M do
N:=10*N; t2:=N mod n;
if t2 = 0 then a[n]:=0; else a[n]:=nt2; fi;
N:=N+a[n]; od: [seq(a[n], n=1..M)];


CROSSREFS

See A051883 for another version. Cf. A144688.
Sequence in context: A182492 A222898 A113044 * A051883 A132792 A136572
Adjacent sequences: A082396 A082397 A082398 * A082400 A082401 A082402


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Feb 08 2009


STATUS

approved



