A184726 a(n) = A005408(n-1)/A090368(n-1) for n > 2 and a(n) = 0 for n <= 2.

0, 0, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 5, 9, 1, 1, 11, 7, 1, 13, 1, 1, 15, 1, 7, 17, 1, 11, 19, 1, 1, 21, 13, 1, 23, 1, 1, 25, 11, 1, 27, 1, 17, 29, 1, 13, 31, 19, 1, 33, 1, 1, 35, 1, 1, 37, 1, 23, 39, 17, 11, 41, 25, 1, 43, 1, 19, 45, 1, 1, 47

Offset: 1

Author

Rémi Eismann, Jan 20 2011

Keywords

• nonn

Comments

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

The decomposition of odd numbers into weight * level + gap is A005408(n) = A090368(n-1) * a(n) + 2 if a(n) > 0.

Examples

			For n = 3 we have A005408(2)/A090368(2)= 3 / 3 = 1; hence a(3) = 1.
For n = 24 we have A005408(23)/A090368(23)= 45 / 3 = 14; hence a(24) = 15.
		

Links

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

Crossrefs

Cf. A005408, A090368, A117078, A117563, A001223.