A184729 a(n) = A184728(n)/A130533(n) unless A130533(n) = 0 in which case a(n) = 0.

0, 0, 4, 1, 1, 1, 10, 1, 12, 1, 16, 11, 8, 1, 4, 1, 1, 1, 1, 28, 9, 1, 1, 8, 1, 12, 1, 42, 17, 1, 1, 46, 31, 7, 1, 1, 28, 39, 39, 60, 11, 13, 25, 66, 1, 70, 47, 47, 72, 1, 38, 1, 1, 26, 1, 7, 88, 1, 1, 61, 20, 17, 100, 67, 67, 102, 29, 41, 106

Offset

1,3

Comments

a(n) is the "level" of semiprimes.

The decomposition of semiprimes into weight * level + gap is A001358(n) = A130533(n) * a(n) + A065516(n) if a(n) > 0.

A184728(n) = A001358(n) - A065516(n) if A001358(n) - A065516(n) > A065516(n), 0 otherwise.

Links

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

Example

For n = 1 we have A130533(1) = 0, hence a(1) = 0.
For n = 3 we have A184728(3)/A130533(3)= 8 / 2 = 4; hence a(3) = 4.
For n = 20 we have A184728(20)/A130533(20)= 56 / 2 = 28; hence a(20) = 28.

Crossrefs

Cf. A001358, A065516, A130533, A184728, A117078, A117563, A001223, A118534.

Sequence in context: A008477 A303278 A222639 * A127707 A113196 A037291

Adjacent sequences: A184726 A184727 A184728 * A184730 A184731 A184732

Keyword

nonn

Author

Rémi Eismann, Jan 20 2011

Status

approved