A091094 Number of partitions of n-th composite number not containing the smallest prime factor.

3, 6, 11, 19, 20, 35, 58, 99, 96, 154, 242, 407, 375, 573, 1331, 861, 1435, 1282, 1886, 2745, 4539, 3961, 9279, 5667, 8038, 13208, 11323, 15836, 22001, 35960, 30383, 41715, 120351, 56953, 92670, 77363, 104566, 247050, 140668, 227999, 188397

Offset: 1

Author

Reinhard Zumkeller, Feb 22 2004

Keywords

• nonn

Comments

a(n) = A000041(A002808(n)) - A091114(n).

a(n) = A000041(A002808(n)) - A000041(A085271(n)). - Charlie Neder, Jan 11 2019

Crossrefs

Cf. A002808, A000041, A020639, A056608.

Extensions

Incorrect formula removed by Charlie Neder, Jan 11 2019