

A184827


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


3



0, 0, 5, 5, 11, 9, 17, 19, 29, 29, 31, 37, 47, 39, 59, 65, 65, 71, 71, 71, 81, 87, 93, 99, 107, 103, 125, 125, 131, 129, 131, 143, 155, 157, 167, 153, 185, 191, 189, 197, 199, 203, 215, 215, 227, 233, 233, 223, 257, 255, 261, 263
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OFFSET

1,3


COMMENTS

From the definition, a(n) = A000959(n)  A031883(n) if A000959(n)  A031883(n) > A031883(n), 0 otherwise where A000959 are the lucky numbers and A031883 are the gaps between lucky numbers.


LINKS

Rémi Eismann, Table of n, a(n) for n = 1..10000


EXAMPLE

For n = 1 we have A000959(1) = 1, A000959(2) = 3; there is no k such that 3  1 = 2 = (1 mod k), hence a(1) = 0.
For n = 3 we have A000959(3) = 7, A000959(4) = 9; 5 is the largest k such that 9  7 = 2 = (7 mod k), hence a(3) = 5; a(3) = 7 2 = 5.
For n = 24 we have A000959(24) = 105, A000959(25) = 111; 99 is the largest k such that 111  105 = 6 = (105 mod k), hence a(24) = 99; a(24) = 105  6 = 99.


CROSSREFS

Cf. A000959, A031883, A130889, A184828, A117078, A117563, A001223, A118534.
Sequence in context: A204902 A151728 A130889 * A058610 A143427 A287996
Adjacent sequences: A184824 A184825 A184826 * A184828 A184829 A184830


KEYWORD

nonn,easy


AUTHOR

Rémi Eismann, Jan 23 2011


STATUS

approved



