|
Search: id:A118807
|
|
|
| A118807 |
|
Number of partitions of n having no parts with multiplicity 3. |
|
+0
3
|
|
| 1, 1, 2, 2, 5, 6, 9, 12, 19, 24, 34, 43, 62, 77, 105, 132, 177, 220, 287, 356, 462, 570, 723, 888, 1121, 1370, 1705, 2074, 2570, 3111, 3816, 4601, 5617, 6743, 8170, 9777, 11794, 14058, 16858, 20029, 23932, 28334, 33692, 39772, 47133, 55468, 65471, 76840
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Column 0 of A118806.
|
|
FORMULA
|
G.f.=product(1+x^j+x^(2j)+x^(4j)/(1-x^j), j=1..infinity).
|
|
EXAMPLE
|
a(6)=9 because among the 11 (=A000041(6)) partitions of 6 only [2,2,2] and [3,1,1,1] have parts with multiplicity 3.
|
|
MAPLE
|
g:=product(1+x^j+x^(2*j)+x^(4*j)/(1-x^j), j=1..60): gser:=series(g, x=0, 55): seq(coeff(gser, x, n), n=0..50);
|
|
CROSSREFS
|
Cf. A118806, A007690, A116645.
Sequence in context: A054255 A063177 A034803 this_sequence A098507 A097066 A035548
Adjacent sequences: A118804 A118805 A118806 this_sequence A118808 A118809 A118810
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 29 2006
|
|
|
Search completed in 0.002 seconds
|
