A099383 Number of partitions of n into minimal numbers.

1, 1, 2, 2, 4, 4, 7, 7, 11, 11, 16, 16, 24, 24, 33, 33, 46, 46, 62, 62, 82, 82, 106, 106, 138, 138, 174, 174, 220, 220, 274, 274, 339, 339, 414, 414, 507, 507, 611, 611, 737, 737, 881, 881, 1049, 1049, 1239, 1239, 1466, 1466, 1717, 1717, 2012, 2012, 2344, 2344

Offset: 0

Author

Reinhard Zumkeller, Oct 14 2004

Keywords

• nonn

Comments

A minimal number is the smallest number with a given number of divisors, see A007416;

a(2*n) = a(2*n+1) = A099385(n).

Examples

			a(8) = #{6+2, 6+1+1, 4+4, 4+2+2, 4+2+1+1, 4+1+1+1+1, 2+2+2+2,
2+2+2+1+1, 2+2+1+1+1+1, 2+1+1+1+1+1+1, 1+1+1+1+1+1+1+1} = 11.
		

Crossrefs

Cf. A099384, A000041, A007416, A005179.