A184727 a(n) = A005843(n-1)/A090369(n-1) for n > 2 and a(n) = 0 for n <= 2.

0, 0, 1, 2, 2, 2, 4, 2, 4, 6, 5, 2, 8, 2, 7, 10, 8, 2, 12, 2, 10, 14, 11, 2, 16, 10, 13, 18, 14, 2, 20, 2, 16, 22, 17, 14, 24, 2, 19, 26, 20, 2, 28, 2, 22, 30, 23, 2, 32, 14, 25, 34, 26, 2, 36, 22, 28, 38, 29, 2, 40, 2, 31, 42, 32, 26

Offset: 1

Author

Rémi Eismann, Jan 20 2011

Keywords

• nonn

Comments

a(n) is the "level" of even numbers.

The decomposition of even numbers into weight * level + gap is A005843(n) = A090369(n-1) * a(n) + 2 if a(n) > 0.

Examples

			For n = 3 we have A005843(2)/A090369(2)= 4 / 4 = 1; hence a(3) = 1.
For n = 24 we have A005843(23)/A090369(23)= 46 / 23 = 2; hence a(24) = 2.
		

Links

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

Crossrefs

Cf. A005843, A090369, A117078, A117563, A001223.