A039872 Number of partitions satisfying cn(1,5) < cn(0,5) + cn(2,5) + cn(3,5) and cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5).

0, 1, 1, 1, 3, 3, 5, 8, 10, 17, 21, 28, 39, 54, 73, 94, 122, 160, 208, 271, 342, 435, 552, 698, 878, 1097, 1366, 1696, 2099, 2595, 3183, 3912, 4774, 5822, 7086, 8587, 10406, 12562, 15115, 18188, 21799, 26134, 31208, 37203, 44305

Offset

1,5

Comments

For a given partition cn(i,n) means the number of its parts equal to i modulo n.

Short: 1 < 0 + 2 + 3 and 4 < 0 + 2 + 3 (AAMZBBp).

Links

Table of n, a(n) for n=1..45.

Crossrefs

Sequence in context: A323581 A327731 A193744 * A079965 A285069 A262736

Adjacent sequences: A039869 A039870 A039871 * A039873 A039874 A039875

Keyword

nonn

Author

Olivier Gérard

Status

approved