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

1,1

Comments

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

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

Links

Table of n, a(n) for n=1..41.

Crossrefs

Cf. A002808, A000041, A020639, A056608.

Sequence in context: A321381 A238903 A271079 * A332446 A116100 A358300

Adjacent sequences: A091091 A091092 A091093 * A091095 A091096 A091097

Keyword

nonn

Author

Reinhard Zumkeller, Feb 22 2004

Extensions

Incorrect formula removed by Charlie Neder, Jan 11 2019

Status

approved