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

0,3

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).

Links

Table of n, a(n) for n=0..55.

Example

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.

Sequence in context: A182410 A341719 A099770 * A341972 A277133 A323539

Adjacent sequences: A099380 A099381 A099382 * A099384 A099385 A099386

Keyword

nonn

Author

Reinhard Zumkeller, Oct 14 2004

Status

approved