

A130889


a(n) = smallest k such that A000959(n+1) = A000959(n) + (A000959(n) mod k), or 0 if no such k exists.


6



0, 0, 5, 5, 11, 9, 17, 19, 29, 29, 31, 37, 47, 13, 59, 5, 5, 71, 71, 71, 9, 29, 31, 9, 107, 103, 5, 5, 131, 43, 131, 11, 5, 157, 167, 51, 5, 191, 7, 197, 199, 29, 5, 43, 227, 233, 233, 223, 257, 15, 9, 263, 281, 281, 281, 97, 13, 59, 317, 7, 17, 17, 47, 11, 353, 71, 349, 379, 389
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OFFSET

1,3


COMMENTS

a(n) is the "weight" of lucky numbers.
The decomposition of lucky numbers into weight * level + gap is A000959(n) = a(n) * A184828(n) + A031883(n) if a(n) > 0.


LINKS

Remi Eismann, Table of n, a(n) for n=1..9999


EXAMPLE

For n = 1 we have A000959(n) = 1, A000959(n+1) = 3; there is no k such that 3  1 = 2 = (1 mod k), hence a(1) = 0.
For n = 3 we have A000959(n) = 7, A000959(n+1) = 9; 5 is the smallest k such that 9  7 = 2 = (7 mod k), hence a(3) = 5.
For n = 24 we have A000959(n) = 105, A000959(n+1) = 111; 9 is the smallest k such that 111  105 = 6 = (105 mod k), hence a(24) = 9.


CROSSREFS

Cf. A000959, A031883, A184828, A184827, A117078, A117563, A001223, A118534.
Sequence in context: A247871 A204902 A151728 * A184827 A058610 A143427
Adjacent sequences: A130886 A130887 A130888 * A130890 A130891 A130892


KEYWORD

nonn


AUTHOR

Rémi Eismann, Aug 21 2007  Jan 23 2011


STATUS

approved



