login
A137793
Number of partitions of n into distinct parts with no prime gaps in their factorization.
5
1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 11, 14, 16, 19, 23, 27, 31, 38, 43, 50, 58, 66, 76, 88, 100, 113, 130, 146, 165, 188, 211, 237, 267, 298, 334, 375, 417, 464, 517, 573, 636, 706, 781, 862, 954, 1050, 1157, 1276, 1401, 1539, 1689, 1851, 2027, 2222, 2427
OFFSET
1,3
EXAMPLE
a(16)=A000009(16)-#{14+2,10+6,10+5+1,10+4+2,10+3+2+1}=32-5=27.
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Feb 11 2008
STATUS
approved